Exotic Dehn twists and homotopy coherent group actions, joint work with Sungkyung Kang and JungHwan Park, [arXiv_Sep_2024], to appear in Inventiones Mathematicae.
Cables of the figure-eight knot via real Frøyshov invariants, joint work with Sungkyung Kang and JungHwan Park, [arXiv_May_2024], to appear in Geometry & Topology.
Involutions, knots, and Floer K-theory, joint work with Hokuto Konno and Jin Miyazawa, [arXiv_Oct_2021], to appear in Compositio Mathematica.
Instantons, special cycles, and knot concordance, joint work with Aliakbar Daemi, Hayato Imori, Kouki Sato, and Christopher Scaduto, [arXiv_Sep_2022], to appear in Geometry & Topology.
An adjunction inequality for the Bauer-Furuta type invariants, with applications to sliceness and 4-manifold topology, joint work with Nobuo Iida and Anubhav Mukherjee, Volume 466, April (2025), Advances in Mathematics, (38 pages), [article link], [arXiv_Feb_2021].
Diffeomorphisms of 4-manifolds with boundary and exotic embeddings, joint work with Nobuo Iida, Hokuto Konno, and Anubhav Mukherjee, Mathematische Annalen, Volume 391, pages 1845–1897, (2025), (53 pages), [article link], [arXiv_Mar_2022].
Involutions, links, and Floer cohomologies, joint work with Hokuto Konno and Jin Miyazawa, Journal of Topology, Vol. 17, 2 (2024), (47 pages), [article link],[arXiv_Apr_2023],
Filtered instanton Floer homology and the homology cobordism group, joint work with Yuta Nozaki and Kouki Sato, J. Eur. Math. Soc. 26 (2024), no. 12, pp. 4699–4761, (63 pages), [article link], [arXiv_May_2019], (Ph.D. thesis, 4/4).
Positive scalar curvature and homology cobordism invariants, joint work with Hokuto Konno, Journal of Topology, Vol. 16, 2, 679-719(2023), (41 pages), [article link], [arXiv_Apr_2021].
A note on generalized Thurston-Bennequin inequalities, joint work with Nobuo Iida and Hokuto Konno, International Journal of Mathematics, Vol. 33, No. 14, 2250089 (2022), (8 pages), [article link], [arXiv_Jul_2022]
The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary, joint work with Hokuto Konno, Advances in Mathematics, 409 (2022), (58 pages), [article link], [arXiv_Oct_2020]
Seifert hypersurfaces of 2-knots and Chern-Simons functional, Quantum Topology, Vol. 13, 2, 335–405 (2022), (76 pages) [article link], [arXiv_Oct_2019], (Ph.D. thesis, 3/4).
Seiberg-Witten Floer homotopy contact invariant, joint work with Nobuo Iida, Combinatorics, Geometry and Topology, 58, 505-558 (2021), (54 pages), [article link], [arXiv_Oct_2020].
Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends, joint work with Hokuto Konno, Invent. math. 222, 833–880 (2020), (48 pages), [article link], [arXiv_Sep_2018], (Ph.D. thesis, 2/4).
Rational homology 3-spheres and simply connected definite bounding, joint work with Kouki Sato, Algebraic & Geometric Topology 20-2, 865-882 (2020), (18 pages), [article link], [arXiv_Aug_2018], (Ph.D. thesis, 1/4).
Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds, Topology Appl. 243, 1-32 (2018), (32 pages), [article link], [arXiv_July_2017], (master thesis).
Exotic codimension-1 submanifolds in 4-manifolds and stabilization, joint work with Hokuto Konno and Anubhav Mukherjee, [arXiv_Oct_2022], submitted.
From diffeomorphisms to exotic phenomena in small 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv_Apr_2023], submitted.
Exotic Dehn twists on 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv_Jun_2023], submitted
Involutions and the Chern-Simons filtration in instanton Floer homology, joint work with Antonio Alfieri, Irving Dai, and Abhishek Mallick,[arXiv_Sep_2023], submitted.
Monopoles and transverse knots, joint work with Nobuo Iida, [arXiv_Mar_2024], submitted.
Exotically knotted closed surfaces from Donaldson's diagonalization for families, joint work with Hokuto Konno and Abhishek Mallick, [arXiv_Sep_2024], submitted.
On the slice-torus invariant q_M from Z_2-equivariant Seiberg--Witten cohomology, joint work with Nobuo Iida, Taketo Sano, Kouki Sato, [arXiv_Jan_2025], submitted.
On the connected sums of (2,1)-cable of the figure eight knot, joint work with Yoshihiro Fukumoto, [arXiv_Jan_2025], submitted.
A satellite formula for real Seiberg-Witten Floer homotopy types, joint work with Jin Miyazawa and JungHwan Park, [arXiv_Apr_2025], submitted.
Smooth concordance of cables of the figure-eight knot, joint work with Sungkyung Kang and JungHwan Park,[arXiv_May_2025], submitted.
Cobordism maps in Khovanov homology and singular instanton homology I, Hayato Imori, Taketo Sano, Kouki Sato, [arXiv_May_2025].
Rasmussen type invariant from equivariant instanton Floer homology, Kouki Sato and Hayato Imori, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2227, 62-75,(2022), [article link]
Seiberg-Witten Floer homotopy and contact structures, with Nobuo Iida, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2191, 97-106, (2021), [article link]
Instanton Floer theory and the homology cobordism group, with Yuta Nozaki and Kouki Sato, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku No.2129, 97-106, (2019), [article link].
Instanton moduli spaces on 4-manifolds with periodic end and an obstruction of embeddings, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kokyuroku, No. 2052, 42-47 (2017), [article link].
Gauge theory and its applications to 3 and 4-dimensional topology, Ph.D. thesis, in English, (2020), 129 pages
Instantons for 4-manifolds with periodic ends and an obstruction to embeddings of 3-manifolds, 周期的多様体上のインスタントンと3次元多様体の埋め込みの障害について, master thesis, in Japanese, (2017), 57 pages
Click HERE for all of my papers on the arXiv.
Antonio Alfieri (Stony Brook University), Aliakbar Daemi (Washinton University), Irving Dai (The University of Texas at Austin), Yoshihiro Fukumoto (Ritsumeikan University), Nobuo Iida (Tokyo Woman's Christian University), Hayato Imori (KAIST), Eiji Inoue (Kyoto University), Sungkyung Kang (University of Oxford), Hokuto Konno (University of Tokyo), Yuta Nozaki (Yokohama National University), Abhishek Mallick (Dartmouth College), Jin Miyazawa (RIMS), Anubhav Mukherjee (Princeton University), JungHwan Park (KAIST), Taketo Sano (RIKEN iTHEMS), Kouki Sato (Meijo University), Christopher Scaduto (Miami University)
日本語の文章