今野 北斗

Hokuto Konno
東京大学大学院数理科学研究科 准教授
Associate Professor, Graduate School of Mathematical Sciences
The University of Tokyo

  • Preprints

    1. Constraints on Lefschetz fibrations with four-dimensional fibers from Seiberg-Witten theory (with Jianfeng Lin, Anubhav Mukherjee, and Juan Muñoz-Echániz), arXiv:2511.00601
    2. On absolutely exotic diffeomorphisms of 4-manifolds (with Abhishek Mallick and Masaki Taniguchi), arXiv:2510.05505
    3. The monodromy diffeomorphism of weighted singularities and Seiberg-Witten theory (with Jianfeng Lin, Anubhav Mukherjee, and Juan Muñoz-Echániz), arXiv:2411.12202
    4. Exotically knotted closed surfaces from Donaldson's diagonalization for families (with Abhishek Mallick and Masaki Taniguchi), arXiv:2409.07287
    5. On localizing groups of exotic diffeomorphisms of 4-manifolds (with Abhishek Mallick), arXiv:2406.11773
    6. Exotic Dehn twists on 4-manifolds (with Abhishek Mallick and Masaki Taniguchi), arXiv:2306.08607
    7. Homological instability for moduli spaces of smooth 4-manifolds (with Jianfeng Lin), arXiv:2211.03043
    8. Exotic codimension-1 submanifolds in 4-manifolds and stabilizations (with Anubhav Mukherjee and Masaki Taniguchi), arXiv:2210.05029

  • Journal Articles

    1. Irreducible 4-manifolds can admit exotic diffeomorphisms (with David Baraglia), to appear in Duke Math. J. [arXiv:2412.14398]
    2. On four-dimensional Dehn twists and Milnor fibrations (with Jianfeng Lin, Anubhav Mukherjee, and Juan Muñoz-Echániz), to appear in Duke Math. J. [arXiv:2409.11961]
    3. The homology of moduli spaces of 4-manifolds may be infinitely generated, Forum Math. Pi 12 (2024), Paper No. e25. [arXiv:2310.18695]
    4. From diffeomorphisms to exotic phenomena in small 4-manifolds (with Abhishek Mallick and Masaki Taniguchi), to appear in Selecta Math. (N.S.) [arXiv:2304.05997]
    5. Involutions, links, and Floer cohomologies (with Jin Miyazawa and Masaki Taniguchi), J. Topol. 17 (2024), no. 2, Paper No. e12340, 47 pp. [arXiv:2304.01115]
    6. A note on generalized Thurston-Bennequin inequalities (with Nobuo Iida and Masaki Taniguchi), Internat. J. Math. 33 (2022), no. 14, Paper No. 2250089, 8 pp. [arXiv:2207.00229]
    7. Diffeomorphisms of 4-manifolds with boundary and exotic embeddings (with Nobuo Iida, Anubhav Mukherjee, and Masaki Taniguchi), Math. Ann. 391 (2025), no. 2, 1845-1897. [arXiv:2203.14878]
    8. Dehn twists and the Nielsen realization problem for spin 4-manifolds, Algebr. Geom. Topol. 24 (2024), no. 3, 1739–1753. [arXiv:2203.11631]
    9. Involutions, knots, and Floer K-theory (with Jin Miyazawa and Masaki Taniguchi), Compos. Math. 161 (2025), no. 11, 2852–2910. [arXiv:2110.09258]
    10. Positive scalar curvature and homology cobordism invariants (with Masaki Taniguchi), J. Topol. 16 (2023), no. 2, 679–719. [arXiv:2104.10860]
    11. A note on exotic families of 4-manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Proc. Amer. Math. Soc. 151 (2023), no. 6, 2695–2705. [arXiv:2101.00367]
    12. The groups of diffeomorphisms and homeomorphisms of 4-manifolds with boundary (with Masaki Taniguchi), Adv. Math. 409 (2022), Paper No. 108627, 58 pp. [arXiv:2010.00340]
    13. Constraints on families of smooth 4-manifolds from $\mathrm{Pin}^{-}(2)$-monopole (with Nobuhiro Nakamura), Algebr. Geom. Topol. 23 (2023), no. 1, 419–438. [arXiv:2003.12517]
    14. A note on the Nielsen realization problem for K3 surfaces (with David Baraglia), Proc. Amer. Math. Soc. 151 (2023), no. 9, 4079–4087. [arXiv:1908.03970]
    15. Rigidity of the mod 2 families Seiberg-Witten invariants and topology of families of spin 4-manifolds (with Tsuyoshi Kato and Nobuhiro Nakamura), Compos. Math. 157 (2021), no. 4, 770–808. [arXiv:1906.02943]
    16. On the Bauer-Furuta and Seiberg-Witten invariants of families of 4-manifolds (with David Baraglia), J. Topol. 15 (2022), no. 2, 505–586. [arXiv:1903.01649]
    17. A gluing formula for families Seiberg-Witten invariants (with David Baraglia), Geom. Topol. 24 (2020), no. 3, 1381–1456. [arXiv:1812.11691]
    18. Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends (with Masaki Taniguchi), Invent. Math. 222 (2020), no. 3, 833–880. [arXiv:1809.00528]
    19. Characteristic classes via 4-dimensional gauge theory, Geom. Topol. 25 (2021), no. 2, 711–773. [arXiv:1803.09833]
    20. Positive scalar curvature and higher-dimensional families of Seiberg-Witten equations, J. Topol. 12 (2019), no. 4, 1246–1265. [arXiv:1707.08974]
    21. A cohomological Seiberg-Witten invariant emerging from the adjunction inequality, J. Topol. 15 (2022), no. 1, 108–167. [arXiv:1704.05859]
    22. Bounds on genus and configurations of embedded surfaces in 4-manifolds, J. Topol. 9 (2016), no. 4, 1130–1152. [arXiv:1507.00139]

  • Miscellany

    1. 族のゲージ理論，日本数学会『数学』論説，第77巻第2号，2025年4月春季号，プレプリント版
    2. Floer K-theory for knots, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kôkyûroku, No. 2227, 6-12 (2022)
    3. A family of the Seiberg-Witten equations and configurations of embedded surfaces in 4-manifolds, Proceeding to Intelligence of Low-dimensional Topology at RIMS Kôkyûroku, No. 2004, 13-22 (2016)