From diffeomorphisms to exotic phenomena in small 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv_Apr_2023], to appear in Selecta Mathematica.
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, Geometry & Topology 29-8 (2025), 4189--4298, (113 pages) [article link], [arXiv_Sep_2022]
Exotic Dehn twists and homotopy coherent group actions, joint work with Sungkyung Kang and JungHwan Park, Invent. math. (2025), (33 pages), [article link], [arXiv_Sep_2024]
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.
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, joint work with Hayato Imori, Taketo Sano, Kouki Sato, [arXiv_May_2025].
On absolutely exotic diffeomorphisms of 4-manifolds, joint work with Hokuto Konno and Abhishek Mallick, [arXiv_Oct_2025], submitted.
Cobordism maps in Khovanov homology and singular instanton homology II, joint work with Hayato Imori, Taketo Sano, Kouki Sato, [arXiv_Oct_2025].
Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations, joint work with Sungkyung Kang and JungHwan Park, [arXiv_Oct_2025], submitted.
Click HERE to see all of my papers on the arXiv, listed in the order they were posted.
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
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
雑誌, 数学,第77巻, 第4号, 2025年, 10月, 論説「今野北斗氏の業績ー族のゲージ理論の観点からー」p411-422, link
数学セミナー9, 2025, vol.64_no.9_767, p89, 「ファイバー構造から始める4次元多様体論 」,本「4次元多様体とファイバー構造, 遠藤久顕・早野健太」の書評, link
雑誌, 数理科学 2025年, 4月号, 《多様体》の探求, 「４次元多様体--同境群の観点から--」, p33-40 link
予稿集, 第66回トポロジーシンポジウム講演集(2019年8月・秋田市), 「3次元ホモロジー球面のなすホモロジー同境群とChern-Simons汎函数」, 10 page, link