一枚もなしありふれし落葉など （河内静魚句集「水の色」(2023) 朝日新聞出版 より）
触れてみよ憂い薊(あざみ)に多かりき（河内静魚句集「手毬」(1993) エディットセブン社より）
さびしかり風の高さの夏草は （河内静魚句集「氷湖」(1988) 卯辰山文庫より)
Embedded Files
KAWAUCHI Akio's
Works on
Knots and Manifolds
May 19, 2026 (last updated)
161. Ribbonness on boundary surface-link, revised.
Latest preprint version (April 6, 2026) is here. arXiv: 2507.18154
160. Classifying the surface-knot modules. Latest preprint version (August 8, 2024) is here . arXiv:2408.04285
159. Revised note on surface-link of trivial components. Latest preprint version (January 14, 2026) is here. arXiv:2503.05151
158. Orthogonal 2-sphere basis of stable 4-sphere. Geometry, 3(2) (2026), 10; https://doi.org/10.3390/geometry3020010. Latest preprint version (April 30, 2026) is here. arXiv: 2602.01507
156. Ribbonness on boundary surface-link. Open Access J. Phys. Math. 1(2) (2025), 1-4. https://openpubglobal.com/articles_file/440-article1758707683.pdf (see 160). Latest preprint version (September 23, 2025) is here.
155. "A survey on smooth unknotting of a surface-knot in the 4-sphere",
Online talk via zoom in Moscow-Beijing Topology Seminar on July 30, 2025. The talk
slides are here.
154. Alternative proof of the ribbonness on classical link. International Journal of Physics Research and Applications 8(6) (2025),145 -149. https://www.physicsresjournal.com/ijpra/article/view/ijpra-aid1122/pdf
Latest preprint version (April 22, 2025) is here. arXiv:2501.00968
153. Lecture "Ribbon Surface-Link Overview" in: The first online knot theory congress in honor of the 80th birthday of Louis H. Kauffman. The lecture slides on February 3, 2025 (Japan time) are here with comments (January 16, 2026) added on the last slide.
152. Ribbonness of a stable-ribbon surface-link, II. General case. (MDPI) Mathematics 13 (3), 402 (2025),1-11 ;https://doi.org/10.3390/math13030402. Latest preprint version (July 24, 2025) is here (Compare 158, 160, 161). arXiv:1907.09713
151. Note on surface-link of trivial components. Journal of Comprehensive Pure and Applied Mathematics, 2 (1) (2024), 1 - 05. online. For the error correction in Theorem 1, compare 153 (last slide) and 158 (revised paper).
149. Introduction to knot theory and possibilities for mathematics education (in Japanese), Japan Journal of Mathematics Education and Related Fields, 65 No. 1・2 (2024), 1-13. Latest preprint version is here.
144. Lecture "Introduction to knot theory and possibilities for mathematics education" (in Japanese), Spring annual meeting of Mathematics Education Society of Japan, Osaka Metropolitan University (March 18, 2024). The talk slides are here.
143. Smooth homotopy 4-sphere, WSEAS Transactions on Mathematics 22 (2023), 690-701. Latest preprint version (November 19, 2024) is here. arXiv:1911.11904
142. Ribbonness on classical link. Journal of Mathematical Techniques and Computational Mathematics, 2(8) (2023), 375-377, DOI:10.33140/JMTCM. Latest preprint version (December 19, 2024) is here (Compaire 154). arXiv: 2307.16483
141. Triviality of a surface-link with meridian-based free fundamental group, Transnational Journal of Mathematical Analysis and Applications 11 (2023), 19-27. Latest preprint version (June 4, 2023) is here. arXiv:1804.04269
140. Uniqueness of an orthogonal 2-handle pair on a surface-link, Contemporary Mathematics (UWP) 4 (2023), 182-188. Latest preprint version (March 31, 2023) is here.
139. Considering Mathematical Skills Cultivated by Learning Knots (in Japanese), in: Introduction to Mathematical Education on Knots - for primary school children, junior high students, and the high school students, No. 6 (Feburuary 2023) (ed. A. Kawauchi and T. Yanagimoto) , 1-3.
138. Unique diagram of a spatial arc and the knotting probability, Pure and Applied Mathematics Journal 11 (2022), 102-111. Latest preprint version(July 24, 2019) is here. arXiv:1907.10194
137. (with Valeriy Bardakov) Spatial graph as connected sum of a planar graph and a braid, J. Knot Theory Ramifications 30 (2021) 2150077 (15 pages). arXiv:2006.16072
136. Mathematical mirror image and knot - Understanding a chiral knot object (in Japanese), SUURIKAGAKU, No. 693 (March, 2021), pp.59-65, SAIENSU-SHA Co. Ltd
135. Smooth homotopy 4-sphere (research announcement), Intelligence of Low Dimensional Topology, RIMS Kôkyûroku 2191 (July 2021), 1-13.
134. (with Maria de los Angeles Guevara Hernandez) On alternating closed braids, J. Knot Theory Ramifications, 30 (3) (2021) 2150017 (14 pages). Preprint version is here.
133. Ribbonness of a stable-ribbon surface-link, I. A stably trivial surface-link, Topology and its Applications 301(2021), 107522 (16pages). Latest preprint version (June 22, 2025) is here. arxiv:1804.02654
（A revised proof of uniqueness of an orthogonal 2-handle pair is in the item 140.)
132. Knotting probability of an arc diagram, Journal of Knot Theory and Its Ramifications 29 (10) (2020) 2042004 (22 pages). Preprint version is here.
131. Splitting criteria for a definite 4-manifold with infinite cyclic fundamental group.
Latest preprint version (April 1, 2018) is here. arXiv: 1804.01380
130. Homological infinity of 4D universe for every 3-manifold, in: Algebraic Topology and Related Topics (2019), 153-176, Birkhauser. ISBN 978-981-13-5742-8 Preprint version is here.
129. Topology of a 4D universe for every 3-manifold. Topology and its Applications, 264 (2019), 66-78. Preprint version is here.
128. (with A. Shimizu and Y. Yaguchi) Cross-index of a graph, Kyungpook Math. J. 59 (2019), 797-820. Preprint version is here.
127. (with K. Kauer, S. Kamada and M. Prabhacker) An unknotting index for virtual knots, Tokyo Journal of Mathematics, 42 (2019), 357-370. Preprint version is here.
126. (with J. Kim) Immersed 2-knots with essential singularity, Topology and Applications, 264 (2019), 462-472. Preprint version is here.
125. Poincar{\'e} Conjecture (in Japanese), SUUGAKU SEMINAR, vol. 57 (9)_684 (September 2018) 23-29, NIPPON HYORON SHA CO. LTD.
124. (with S. Kamada, J. Kim, and S.Y.Lee) Biquandle cohomology and state sum invariants of links and surface-links, Journal of Knot Theory and Its Ramifications, 27, No. 11 (2018), 1843016 (37 pages). DOI: 10.1142/S0218216518430162. Preprint version is here.
123. Faithful equivalence of equivalent ribbon surface-links, Journal of Knot Theory and Its Ramifications, 27, No. 11 (2018),1843003 (23 pages). DOI: 10.1142/S0218216518430034. Preprint version is here.
122. Complexities of a knitting pattern, Reactive and Functional Polymers, 131 (2018), 230-236. Preprint version is here.
121. (with S. Kamada, J. Kim, and S.Y.Lee) Presentation of immersed surface-links by marked graph diagrams, J. Knot Theory Ramifications 27 (2018), No. 10, 1850052 (10 pages). Preprint version is here.
120. (with A. Shimizu) On the orientations of monotone knot diagrams, Journal of Knot Theory and Its Ramifications, 26, No. 10 (2017), 1750053 (15 pages).
http://dx.doi.org/10.1142/S0218216517500535. Preprint version is here.
119. (with Y. Joung, S. Kamada and S. Lee) Polynomial of an oriented surface-link diagram via A_2 invariant, Topology and its Applications, 231 (2017), 159-185. http://dx.doi.org/10.1016/j.topol.2017.08.030. Preprint version is here.
118. (with I. Tayama) Representing 3-manifolds in the complex number plane, Topology and its Applications 230C (2017), 425-443. https://doi.org/10.1016/j.topol.2017.08.036. Preprint version is here.
117. On a cross-section of an immersed sphere-link in 4-space, Topology and its Applications, 230C (2017), 194-217. https://doi.org/10.1016/j.topol.2017.08.035. Preprint version is here.
116. (with K. Kaur, S. Kamada and M. Prabhakar) Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs, Topology and its Applications, 230 (2017), pp 586-598. https://doi.org/10.1016/j.topol.2017.08.037. Preprint version is here.
115. A chord graph constructed from a ribbon surface-link, Contemporary Mathematics (AMS), 689 (2017), 125-136. http://dx.doi.org/10.1090/conm/689/13841. Preprint version is here.
114. Knots in Mathematics (in Japanese), in: Introduction to Mathematical Education on Knots- for primary school children, junior high students, and the high school students, No. 5 (March 2017) (ed. A. Kawauchi and T. Yanagimoto) , 1-7.
113. Supplement to a chord diagram of a ribbon surface-link, Journal of Knot Theory and Its Ramifications 26 (2017), 1750033 (5 pages). DOI: 10.1142/S021821651750033X. Preprint version is here.
112. Knot theory for spatial graphs attached to a surface, Proceedings of the ICTS Program: Knot Theory and its Applications, Contemporary Mathematics (AMS) 670 (2016), 141-169. http://dx.doi.org/10.1090/conm/670/13448. Preprint version is here.
111. (with Y. Bae and S. Choi) On knotted real projective planes, Journal of Knot Theory and Its Ramifications 24 (2015), 1540011 (15 pages), a special issue dedicated to 2014 KOOK-TAPU joint Workshop at NIMS. DOI: http://dx.doi.org/10.1142/S0218216515400118
110. Characteristic genera of closed orientable 3-manifolds, Kyungpook Math. J. 55 (2015), 753-771. Preprint version is here.
109. Theory of Knots (Monograph in Japanese), Kyoritsu Shuppan Co. Ltd (2015).
108. A chord diagram of a ribbon surface-link, Journal of Knot Theory and Its Ramifications 24 (2015), 1540002 (24 pages), a special issue dedicated to 2014 KOOK-TAPU joint Workshop at NIMS. DOI: 10.1142/S0218216515400027. Preprint version is here.
107. On 4-dimensional universe for every 3-dimensional manifold, Topology and its Applications, 196 (2015), 575-593. DOI:10.1016/j.topol.2015.05.035. Preprint version is here.
106. (with I. Tayama and B. Burton) Tabulation of 3-manifolds of lengths up to 10, Proceedings of International Conference on Topology and Geometry 2013, joint with the 6th Japan-Mexico Topology Symposium, Topology and its Applications, 196 (2015), 937-975. Preprint version is here.
DOI:10.1016/j.topol.2015.05.036.
105. (with A. Shimizu) Quantization of the crossing number of a knot diagram. Kyungpook Math.
55 (2015), 741-752. Preprint version is here.
104. Component-conservative invertibility of links and Samsara 4-manifolds on 3-manifolds, Asia Pacific Journal of Mathematics, Vol. 1, No.2 (2014), 86-106. Preprint version is here.
103. The Alexander polynomials of immersed concordant links, Boletin de la Sociedad Matematica Mexicana 20 (2014), 559-578. DOI: 10.1007/s40590-014-0023-9. Preprint version is here.
102. Topology associated with various fields of mathematics (in Japanese), Article in Monthly Magazine "Mathematical Sciences" 11 (2014), 7-12.
101. Splitting a 4-manifold with infinite cyclic fundamental group, revised in a definite case. Journal of Knot Theory and Its Ramifications, Vol 23, No. 5 (2014) 1450029 (6pages). Preprint version is here. DOI: 10.1142/S0218216514500291.
100. On a trial of early childhood education of mathematics by a knot (in Japanese), in: Introduction to Mathematical Education on Knots- for primary school children, junior high students, and the high school students, No. 4 (February 2014) (ed. A. Kawauchi and T. Yanagimoto), 1-8.
99. (with K. Kishimoto and A. Shimizu) Knot theory and game (in Japanese), Mathematical world viewing from the game "Region Select", Asakura Publishing Co., Ltd. (2013). Correction Table in Japanese (June 18, 2025).
98. Splitting a 4-manifold with infinite cyclic fundamental group, revised, Journal of Knot Theory and Its Ramifications, Vol. 22, No. 14 (2013) 1350081
(9 pages). DOI:10.1142/S0218216513500818. Preprint version is here.
97. On mathematical education of a knot (in Japanese), Osaka Journal of Mathematical Education, 42 (2013), 141-146.
96. Looking back on elementary school days ― To come to like mathematics ―, Talk at Senior High School/Osaka City University Joint Mathematics Council, OCAMI, November 17, 2012. Public version of the talk slides (in Japanese) is here.
95. Mind-Knots and Mind-Relations: Knot Theory Applied to Psychology, in: Qualitative Mathematics for the Social Sciences, Mathematical Models for Research on Cultural Dynamics" (2012), 227-253, (edited by Lee Rudolph), Routledge's.
Cultural Dynamics of Social Representation series (Series Editor Jaan Valsiner).
Earlier preprint version is here.
94. (with K. Yoshida) Topology of prion proteins, Journal of Mathematics and System Science 2 (2012), 237-248. Preprint version is here.
93. On the Alexander polynomials of knots with Gordian distance one,Topology and its Applications 159 (2012), 948-958. Preprint version is here.
92. (with A. Shimizu and K. Kishimoto) A game using knot theory, Japanese Patent Application 2011-95520 (2011).
91. (with T. Kadokami) Amphicheirality of links and Alexander invariants,SCIENCE CHINA Mathematics 54 (2011), 2213-2227. Preprint version is here.
90. On transforming a spatial graph into a plane graph,in: Statistical Physics and Topology of Polymers with Ramifications to Structure and Function of DNA and Proteins, Progress of Theoretical Physics Supplement, No. 191 (2011), 225-234. Preprint version is here.
89. What is Knot Theory ? Why Is It In Mathematics ?, in: Teaching and Learning of Knot Theory in School Mathematics (A. Kawauchi and T. Yanagimoto ed.), OCAMI Studies Vol. 4 (2011), 1-15.
88. Teaching and Learning of Knot Theory in School Mathematics, edited by A. Kawauchi and T. Yanagimoto. OMUP published the 1st print as OCAMI Studies Vol. 4 (2011); Springer Verlag (2012).
87. Applying knot theory to sciences - mainly on knot models of a prion protein and a psychological mind (in Japanese), a civic lecture record, Sugaku Tushin, 14-4 (February 2010), 26-45; Korean translations (by Yeonhee Jang) in the News Letter of the Korean Mathematical Society, 148 (2013), 10-20 and in Scienceon (Korean Journal) , May 28, 2013.
86. 2SH1430 Application of knot theory to prion diseases (2SH Prime Number and Life-New Paradigm for the 21st Century-, The 48th Annual Meeting of the Biophysical Society of Japan), Seibutsu Butsuri 50, supplement 2 (2010/8/15), S17, The Biophysical Society of Japan General Incorporated Association.
85. (with I. Tayama) Enumerating 3-manifolds with lengths up to 9 by a canonical order,Topology Appl. 157 (2010), 261-268. Preprint version is here.
84. On alternation numbers of links,Topology Appl. 157 (2010), 274-279. Preprint version is here.
83. Basics on topology (in Japanese), in: Topology Designing-Material / Materials Design Beginning With New Geometry, NTS, Inc. (2009), 127-140.
82. On a complexity of a spatial graph. in: Knots and soft-matter physics, Topology of polymers and related topics in physics, mathematics and biology, Bussei Kenkyu 92-1 (2009-4), 16-19. Revised Preprint Version is here.
81. (with I. Tayama) Enumerating homology spheres with lengths up to 10 by a canonical order, Proceedings of Intelligence of Low-Dimensional Topology 2009 in honor of Professor Kunio Murasugi's 80th birthday, (2009), 83-92. Preprint version is here.
80. Rational-slice knots via strongly negative-amphicheiral knots,Communications in Mathematical Research 25 (2009),177-192. Preprint version is here.
79. Topology of spatial graphs, Detailed version on the abstract "Topology of spatial graph" in: Proceedings of Yamada Conference 2008 "Topological Molecules" (2008) p. 60.
77. (I. Tayama) Enumerating prime link exteriors with lengths up to 10 by a canonical order, Proceedings of the joint conference of Intelligence of Low Dimensional Topology 2008 and the Extended KOOK Seminar (2008), 135-143. Preprint version is here.
76. "Lectures on knot theory"(Monograph in Japanese) (2007), Kyoritsu Shuppan Co. Ltd.
75. (with I. Tayama) Enumerating 3-manifolds by a canonical order, Intelligence of low dimensional topology 2006, Series on knots and everything, vol 40 (2007), 165-172, World Sci. publ. Preprint version is here.
74. On the surface-link groups, Intelligence of low dimensional topology 2006,Series on knots and everything 40 (2007), 157-164, World Sci. publ. Preprint version is here.
73. A knot model in psychology, in: Knot Theory for Scientific Objects, OCAMI Studies Vol. 1 (2007), 129-141. Preprint version is here.
72. "Knot theory for scientific objects" ( A. Kawauchi ed.), OCAMI Studies Vol.1 (2007), Osaka Municipal Univ. Press.
71. Topological imitations and Reni-Meccia-Zimmermann's conjecture, Kyungpook Math. J., 46 (2006),1-9. Preprint version is here.
70. (with I. Tayama) Enumerating prime links by a canonical order, Journal of Knot Theory and Its Ramifications, Vol. 15, No. 2 (2006), 217-237. Preprint version is here
69. Characterizing the first Alexander Z[Z]-modules of surface-links and of virtual links, in: Proc. Second East Asian School of Knots, Links, and Related Topics in Geometric Topology (Darlian, Aug. 2005) (2005), 111-121. Preprint version is here.
68. (with I. Tayama) Enumerating the exteriors of prime links by a canonical order, in: Proc. Second East Asian School of Knots, Links, and Related Topics in Geometric Topology (Darlian, Aug. 2005), (2005), 269-277. Preprint version is here.
67. Topological imitation of a colored link with the same Dehn surgery manifold, Proc. of International Conf. Topology in Matsue 2002, Topology Appl. 146-147 (2005), 67-82.
66. (with I. Tayama) Enumerating the prime knots and links by a canonical order, Proc. 1st East Asian School of Knots, Links, and Related Topics 2004 (Seoul, Feb. 2004), (2004), 307-316. Preprint version is here.
65. A tabulation of 3-manifolds via Dehn surgery, Boletin de la Sociedad Matematica Mexicana (3) 10 (2004), 279--304. Preprint version is here.
64. Link corresponding to 3-manifold, in: Proc. of Professor Kazuaki Kobayashi and Professor Shin'ichi Suzuki's Joint 60th Birthday Symposium"The Present, Past and Future's Knot Theory" (2002), 130-154.
63. On pseudo-ribbon surface-links, J. Knot Theory Ramifications,11 (2002), 1043-1062．Preprint version is here.
62. On linking signature invariants of surface-knots, J. Knot Theory Ramifications 11 (2002), 369-385. Preprint version is here.
61. An intrinsic Arf invariant of a link and its surface-link analogue, in: Proc. of the first topology meeting of Japan-Mexico 1999, Topology Appl. 121 (2002), 255-274.
60. (with S. Kamada and T. Matumoto) Combinatorial moves on ambient isotopic submanifolds in a manifold, J. Math. Soc. Japan. 53 (2001), 321-331.
59. "From linear algebra to homology" (Monograph in Japanese) (2000), Baifukan Tokyo.
58. Algebraic characterization of an exact 4-manifold with infinite cyclic first homology, Journal Atti Sem. Mat. Fis. Univ. Modena 48 (2000), 405-424.
57. Torsion linking forms on surface-knots and exact 4-manifolds, in: Knots in Hellas '98, Series on Knots and Everything 24 (2000), 208-228, World Sci. Publ.
56. The quadratic form of a link, in: Proc. Low Dimension Topology, Contemp. Math. 233 (1999), 97-116.
55. On the fundamental class of an infinite cyclic covering, Kobe J. Math. 15 (1998), 103-114.
54. Floer homology of topological imitations of homology 3-spheres, J. Knot Theory Ramifications 7 (1998), 41-60.
53.The quadratic form of a link and a Seifert matrix, in: The 5th Korea-Japan School of Knots and Links, Proc. Applied Math.Workshop 8 (1997), 119-129, KAIST, Korea. Preprint verison is here.
52. Topological imitations, in: Lectures at Knots 96, World Scientific Publ. (1997), 19-37.
50. A SURVEY OF KNOT THEORY (Birkhauser,1996).
49. Distance between links by zero-linking twists, Kobe J. Math. 13 (1996), 183-190.
48. Mutative hyperbolic homology 3-spheres with the same Floer homology, Geometriae Dedicata 61 (1996), 205-217.
47. (with J. A. Hillman) Unknotting orientable surfaces in the 4-sphere, J. Knot Theory Ramifications 4 (1995),213-224.
46. Topological imitation, mutation and the quantum SU(2) invariants, J. Knot Theory Ramifications 3 (1994), 25-39.
45. A survey of topological imitations of (3,1)-dimensional manifold pairs, Proc. Applied Math. Workshop 4 (1994), 43-52, KAIST, Korea.
44. On coefficient polynomials of the skein polynomial of an oriented link, Kobe J. Math. 11 (1994), 49-68.
43. Splitting a 4-manifold with infinite cyclic fundamental group, Osaka J. Math. 31 (1994), 489-495 (Compare 98).
Available from https://projecteuclid.org/euclid.ojm
42. Introduction to almost identical imitations of (3,1)-dimensional manifold pairs, in:Topics in Knot Theory, Proceedings of NATO-ASI Topics in Knot Theory(Eruzurum /Turkey), Kluwer Academic Publishers (1993), 69-83.
41. Almost identical imitations of (3,1)-dimensional manifold pairs and the manifold mutation, J. Austral. Math. Soc. (Ser.A) 55 (1993), 100-115.
40. Almost identical imitations of (3,1)-dimensional manifold pairs and the branched coverings, Osaka J. Math. 29 (1992), 299-327. Available from https://projecteuclid.org/euclid.ojm
39. Knots 90, (A. Kawauchi ed.), Walter de Gruyter, Berlin-New York,1992.
38. Almost identical link imitations and the skein polynomial, in: Knots 90 (1992), pp.465-476, Walter de Gruyter, Berlin-New York.
37. The first Alexander modules of surfaces in 4-sphere, in: Algebra and Topology, Proc. KAIST Math. Workshop 5 (1990), 81-89.
36. Almost identical imitations of (3,1)-dimensional manifold pairs, Osaka J. Math. 26 (1989), 743-758. Available from https://projecteuclid.org/euclid.ojm
35. An imitation theory of manifolds, Osaka J. Math. 26 (1989), 447-464. Available from https://projecteuclid.org/euclid.ojm
34. Imitations of (3,1)-dimensional manifold pairs, Sugaku 40 (1988),193-204 (in Japanese); Sugaku Expositions (published from Amer. Math. Soc.) 2 (1989), 141-156.
33. The imbedding problem of 3-manifolds into 4-manifolds, Osaka J. Math. 25 (1988), 171-183. Available from https://projecteuclid.org/euclid.ojm
32. Knots in the stable 4-space; An overview, A Fete of Topology, Academic Press (1988), 453-470 (Notice: Interchange the page contents of p. 466 and p. 467, erroneously printed). A corrected preprint version is here.
31. On the integral homology of infinite cyclic coverings of links, Kobe J. Math. 4(1987),31-41.
30. Three dualities on the integral homology of infinite cyclic coverings of manifolds, Osaka J. Math. 23 (1986), 633-651. Available from https://projecteuclid.org/euclid.ojm
29. On the signature invariants of infinite cyclic coverings of even dimensional manifolds, Homotopy Theory and Related Topics, Advanced Studies in Pure Math. 9 (1986), 177-188.
28. On the signature invariants of infinite cyclic coverings of closed odd dimensional manifolds, Algebraic and Topological Theories-to the memory of Dr. T. Miyata (1985), 52-85, Kinokuniya Co. Ltd..
27. Classification of pretzel knots, Kobe J. Math. 2 (1985), 11-22.
26. (with F. Hosokawa, Y. Nakanishi, and M. Sakuma) Note on critical points of surfaces in 4-space, Kobe J. Math. 1 (1984), 151-152.
25. (with T. Kobayashi and M. Sakuma) On 3-manifolds with no periodic maps, Japan. J. Math. 10 (1984), 185-193.
24. Rochlin invariant and α-invariant, Four-Manifold Theory, Contemporary Mathematics (AMS) 35 (1984), 315-326.
23. On the Robertello invariants of proper links, Osaka J. Math. 21 (1984), 81-90. Available from https://projecteuclid.org/euclid.ojm
22. (with T. Shibuya and S. Suzuki) Descriptions on surfaces in four-space, II: Singularities and cross-sectional links, Math. Sem. Notes, Kobe Univ. 11 (1983), 31-69.
21. (with H. Murakami and K. Sugishita) On the T-genus of knot cobordism, Proc. Japan Acad. 59 (1983), 91-93.
20. A test for the fundamental group of a 3-manifold, J. Pure Appli. Algebra, 28 (1983), 189-196.
19. On the Rochlin invariants of Z_2 -homology 3-spheres with cyclic actions, Japan. J. Math. 8 (1982), 217-258.
18. (with T. Shibuya and S. Suzuki) Descriptions on surfaces in four-space, I : Normal forms, Math. Sem. Notes, Kobe Univ. 10 (1982), 75-125.
17. On 3-manifolds admitting orientation-reversing involutions, J. Math. Soc. Japan 33 (1981), 571-589.
16. The (2,1)-cable of the figure eight knot is rationally slice (in a handwritten manuscript) (1980).
15. (with S. Kojima) Algebraic classification of linking pairings on 3-manifolds, Math. Ann. 253 (1980), 29-42.
14. (with T. Matumoto) An estimate of the homology torsion modules of infinite cyclic coverings and knot theory, Pacific J. Math. 90 (1980), 99-103.
13. On links not cobordant to split links, Topology 19 (1980), 321-334.
12. On a 4-manifold homology equivalent to a bouquet of surfaces, Trans. Amer. Math. Soc. 262 (1980), 95-112.
11. Vanishing of the Rochlin invariants of some Z_2 -homology 3-spheres, Proc. Amer. Math. Soc. 79 (1980), 303-307.
10. The invertibility problem on amphicheiral excellent knots, Proc. Japan Acad. 55 (1979), 399-402.
9. (with R. Hartley) Polynomials of amphicheiral knots, Math. Ann. 243 (1979), 63-70.
8. On n-manifolds whose punctured manifolds are imbeddable in (n+1)-sphere and spherical manifolds, Hiroshima Math. J. 9 (1979), 47-57.
7. (with F. Hosokawa) Proposals for unknotted surfaces in four-space. Osaka J. Math.16 (1979), 233-248. Available from https://projecteuclid.org/euclid.ojm
6. On the Alexander polynomials of cobordant links, Osaka J. Math. 15 (1978), 151-159. Available from https://projecteuclid.org/euclid.ojm
5. On quadratic forms of 3-manifolds, Invent. Math. 43 (1977), 177-198.
4. H~-cobordism , I, Osaka J. Math. 13 (1976), 567-590.
Available from https://projecteuclid.org/euclid.ojm
3. Three dimensional homology handles and circles, Osaka J. Math. 12 (1975), 565-581. Available from https://projecteuclid.org/euclid.ojm
2. A partial Poincare duality theorem for infinite cyclic coverings, Quart. J. Math. 26 (1975), 437-458.
1. A classification of compact 3-manifolds with infinite cyclic fundamental groups, Proc. Japan Acad. 50 (1974),175-178.
For inquiries, please contact : kawauchi(at mark)omu.ac.jp
Page updated
Google Sites
Report abuse