List of Papers
Sangbum Cho, Yuya Koda, Jung Hoon Lee, The Powell Conjecture in genus four (arXiv:2406.13309).
Yuya Koda, Makoto Ozawa, Yi-Sheng Wang, Essential annuli in genus two handlebody exteriors (arXiv:2404.04503).
Yuya Koda, Yuki Tanaka, The Goeritz groups of (1,1)-decompositions (arXiv:2403.15809).
Yuta Nozaki, Tamás Kálmán, Masakazu Teragaito, Yuya Koda, Homotopy classification of knotted defects in ordered media (arXiv:2402.16079).
Sangbum Cho, Yuya Koda, Jung Hoon Lee, The Powell Conjecture for the genus-three Heegaard splitting of the 3-sphere (arXiv:2402.07438).
Yuya Koda, Kazuto Takao, Diagrammatic criteria for strong irreducibility of Heegaard splittings and finiteness of Goeritz groups (arXiv:2402.06849).
Ryoga Furutani, Yuya Koda, Divides and hyperbolic volumes (arXiv:2306.12631), to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe, Positive flow-spines and contact 3-manifolds, II, to appear in Annali di Matematica Pura ed Applicata. (Online First)
Ryoga Furutani, Yuya Koda, Stable maps and hyperbolic links (arXiv:2103.00894), to appear in Communications in Analysis and Geometry.
Masaharu Ishikawa, Yuya Koda, Hironobu Naoe, Presentation of the fundamental groups of complements of shadows, Essays in Geometry: Dedicated to Norbert A’Campo (ed. A. papadopoulos), IRMA Lectures in Mathematics and Theoretical Physics, 34, European Mathematical Society Press, Berlin, 2023, 557–588.
Ippei Ishii, Masaharu Ishikawa, Yuya Koda, Hironobu Naoe, Positive flow-spines and contact 3-manifolds, Annali di Matematica Pura ed Applicata (4), 202 (2023), no. 5, 2091–2126. (Journal Page)
Yuya Koda, Makoto Sakuma, Homotopy motions of surfaces in 3-manifolds, The Quarterly Journal of Mathematics, 74 (2023), no.1, 29–71. (Journal Page)
Sangbum Cho, Yuya Koda, Arim Seo, Braid group and leveling of a knot, Journal of Topology and Analysis, 14 (2022), no. 04, 945-968. (Journal Page)
Yuya Koda, Bruno Martelli, Hironobu Naoe, Four-manifolds with shadow-complexity one, Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6 31 (2022), no. 4, 1111-1212. (Journal Page)
Naoki Sakata, Ryosuke Mishina, Masaki Ogawa, Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa, Handlebody decompositions of 3-manifolds and polycontinuous patterns, Proceedings of the Royal Society A. 478 (2022), no. 2260, Paper No. 20220073, 28 pp. (Journal Page)
Susumu Hirose, Daiki Iguchi, Eiko Kin, Yuya Koda, Goeritz groups of bridge decompositions, International Mathematics Research Notices. IMRN 2022 (2022), no. 12, 9308–9356. (Journal Page)
Daiki Iguchi, Yuya Koda, Distance and the Goeritz groups of bridge decompositions, Pacific Journal of Mathematics 315 (2021), no. 2, 347–368. (Journal Page)
Yuya Koda, Hironobu Naoe, Shadows of acyclic 4-manifolds with sphere boundary, Algebraic & Geometric Topology 20 (2020), no. 7, 3707-3731. (Journal Page)
Sangbum Cho, Yuya Koda, Jung Hoon Lee, Disk surgery and the primitive disk complexes of the 3-sphere, Topology and its Applications 272 (2020), 107092. (Journal Page)
Daiki Iguchi, Yuya Koda, Twisted book decompositions and the Goeritz groups, Topology and its Applications 272 (2020), 107064. (Journal Page)
Kenta Funayoshi, Yuya Koda, Extending automorphisms of the genus-2 surface over the 3-sphere, The Quarterly Journal of Mathematics 71 (2020), no. 1, 175-196. (Journal Page)
Kai Ishihara, Yuya Koda, Makoto Ozawa, Koya Shimokawa, Neighborhood equivalence for multibranched surfaces in 3-manifolds, Topology and its Applications 257 (2019), 11-21. (Journal Page)
Sangbum Cho, Yuya Koda, The mapping class groups of reducible Heegaard splittings of genus two, Transactions of the American Mathematical Society 371 (2019), no. 4, 2473-2502. (Journal Page)
Sangbum Cho, Yuya Koda, Haken spheres for genus two Heegaard splittings, Mathematical Proceedings of the Cambridge Philosophical Society 165 (2018), no. 3, 563-572. (Journal Page)
Sangbum Cho, Yuya Koda, The disk complex and 2-bridge knots, Journal of Knot Theory and its Ramifications 27 (2018), no.4, 1850027, 12 pp. (Journal Page)
Masaharu Ishikawa, Yuya Koda, Stable maps and branched shadows of 3-manifolds, Mathematische Annalen 367 (2017), no. 3, 1819-1863. (Journal Page)
Sangbum Cho, Yuya Koda, Connected primitive disk complexes and genus two Goeritz groups of lens spaces, International Mathematics Research Notices. IMRN 2016 (2016), no. 23, 7302-7340. (Journal Page)
Sangbum Cho, Yuya Koda, Seo Arim, Arc complexes, sphere complexes and Goeritz groups, Michigan Mathematical Journal 65 (2016), no. 2, 333-351. (Journal Page)
Yuya Koda, Makoto Ozawa, Knot homotopy in subspaces of the 3-sphere, Pacific Journal of Mathematics 282 (2016), no. 2, 389-414. (Journal Page)
Sangbum Cho, Yuya Koda, Disk complexes and genus two Heegaard splittings for nonprime 3-manifolds, International Mathematics Research Notices. IMRN 2015 (2015), no. 12, 4344-4371. (Journal Page)
Yuya Koda, Automorphisms of the 3-sphere that preserve spatial graphs and handlebody-knots, Mathematical Proceedings of the Cambridge Philosophical Society 159 (2015), no. 1, 1-22. (Journal Page)
Yuya Koda, Makoto Ozawa, with an appendix by Cameron Gordon, Essential surfaces of non-negative Euler characteristic in genus two handlebody exteriors, Transactions of the American Mathematical Society 367 (2015), no. 4, 2875-2904. (Journal Page)
Sangbum Cho, Yuya Koda, The genus two Goeritz group of S^2×S^1, Mathematical Research Letters 21 (2014), no. 3, 449-460. (Journal Page)
Sangbum Cho, Yuya Koda, Topological symmetry groups and mapping class groups for spatial graphs, Michigan Mathematical Journal 62 (2013), no. 1, 131-142. (Journal Page)
Yuya Koda, Taiji Taniguchi, (2+1)-dimensional TQFT model for Colored Turaev-Viro invariants, International Mathematics Research Notices. IMRN 2013 (2013), no. 1, 218-242. (Journal Page)
Yuya Koda, The Reidemeister-Turaev torsion of standard Spin^c structures on Seifert fibered 3-manifolds, Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série 6 21 (2012), no. 4, 745-768. (Journal Page)
Yuya Koda, Links and spines, Journal of Knot Theory and its Ramifications 21 (2012), no. 3, 1250027, 27 pp. (Journal Page)
Yuya Koda, Tunnel complexes of 3-manifolds, Algebraic & Geometric Topology 11 (2011), no. 1, 417-447. (Journal Page)
Yuya Koda, Colored Turaev-Viro invariants of twist knots, Topology and its Applications 156 (2009), no. 3, 577-593. (Journal Page)
Yuya Koda, A Heegaard-type presentation of branched spines and the Reidemeister-Turaev torsion, Mathematische Zeitschrift 260 (2008), no. 1, 203-228. (Journal Page)
Yuya Koda, Spines, Heegaard splittings and the Reidemeister-Turaev torsion, Tokyo Journal of Mathematics 30 (2007), no. 2, 417-439. (Journal Page)
Yuya Koda, Branched spines and Heegaard genus of 3-manifolds, Manuscripta Mathematica 123 (2007), no. 3, 285-299. (Journal Page)
Yuya Koda, Strongly-cyclic branched coverings and the Alexander polynomial of knots in rational homology spheres, Mathematical Proceedings of the Cambridge Philosophical Society 142 (2007), no. 2, 259-268. (Journal Page)