久野雄介(Yusuke Kuno)

津田塾大学 学芸学部 数学科 教授
〒187-8577 東京都小平市津田町2-1-1
e-mail:(family name)+(tti)+(アットマーク)+(tsuda.ac.jp)
研究活動 講義・演習

お知らせ:


研究活動

低次元トポロジー。主に、曲面の写像類群に関連する事柄を研究しています。

論文:

  1. (with Kae Takezawa)
    A note on Penner's cocycle on the fatgraph complex,
    Topology and its applications 312, 108063 (13 pages) (2022)
  2. (with Gwénaël Massuyeau)
    Generalized Dehn twists on surfaces and homology cylinders,
    Algebraic & Geometric Topology 21, 697-754 (2021)
  3. (with Anton Alekseev, Nariya Kawazumi and Florian Naef)
    Goldman-Turaev formality implies Kashiwara-Vergne,
    Quantum Topology 11, 657-689 (2020)
  4. (with Masatoshi Sato)
    The Meyer function on the handlebody group,
    Turkish Journal of Mathematics 44, 1520-1533 (2020)
  5. (with Naoya Enomoto and Takao Satoh)
    A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces,
    Topology and its applications 271, 107052 (14 pages) (2020)
  6. (with Shinji Fukuhara and Nariya Kawazumi)
    Self-intersections of curves on a surface and Bernoulli numbers,
    Osaka Journal of Mathematics 55, 761-768 (2018)
  7. (with Anton Alekseev, Nariya Kawazumi and Florian Naef)
    The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem,
    Advances in Mathematics, 326, 1-53 (2018)
  8. (with Shinji Fukuhara)
    Kauffman-Jones polynomial of a curve on a surface,
    Journal of Knot Theory and its Ramifications 26, 1750062 (17 pages) (2017)
  9. A homology valued invariant for trivalent fatgraph spines,
    Algebraic & Geometric Topology 17, 1785-1811 (2017)
  10. (with Anton Alekseev, Nariya Kawazumi and Florian Naef)
    Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra,
    C. R. Acad. Sci. Paris, Ser. I 355, 123-127 (2017)
  11. (with Nariya Kawazumi)
    Intersections of curves on surfaces and their applications to mapping class groups,
    Annales de l'institut Fourier 65, 2711-2762 (2015)
  12. (with Nariya Kawazumi)
    The logarithms of Dehn twists,
    Quantum Topology 5, 347-423 (2014)
  13. (with Nariya Kawazumi and Kazuki Toda)
    Generators of the homological Goldman Lie algebra,
    Osaka Journal of Mathematics 51, 665-671 (2014)
  14. (with Robert Penner and Vladimir Turaev)
    Marked fatgraph complexes and surface automorphisms,
    Geometriae Dedicata 167, 151-166 (2013)
  15. The generalized Dehn twist along a figure eight,
    Journal of Topology and Analysis 5, 271-295 (2013)
  16. (with Nariya Kawazumi)
    The center of the Goldman Lie algebra of a surface of infinite genus,
    Quarterly Journal of Mathematics 64, 1167-1190 (2013)
  17. A combinatorial construction of symplectic expansions,
    Proc. Amer. Math. Soc. 140, 1075-1083 (2012)
  18. The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds,
    Algebraic & Geometric Topology 11, 145-195 (2011)
  19. On the global monodromy of a Lefschetz fibration arising from the Fermat surface of degree 4,
    Kodai Math. J. 33, 457-472 (2010)
  20. A combinatorial formula for Earle's twisted 1-cocycle on the mapping class group $M_{g,*}$,
    Math. Proc. Camb. Phil. Soc. 146, 109-118 (2009)
  21. The mapping class group and the Meyer function for plane curves,
    Math. Ann. 342, 923-949 (2008)

概説など:

  1. (with Gwénaël Massuyeau and Shunsuke Tsuji)
    Generalized Dehn twists in low-dimensional topology,
    Topology and Geometry, A Collection of Essays Dedicated to Vladimir G. Turaev, EMS Publishing House, Zurich, 357-398 (2021)
  2. Meyer functions and the signatures of fibered 4-manifolds,
    Handbook of Teichmuller theory, ed. A. Papadopoulos, Volume V, EMS Publishing House, Zurich, 75-96 (2016)
  3. (with Nariya Kawazumi)
    The Goldman-Turaev Lie bialgebra and the Johnson homomorphisms,
    Handbook of Teichmuller theory, ed. A. Papadopoulos, Volume V, EMS Publishing House, Zurich, 97-165 (2016)

プレプリント:

  1. (with Nariya Kawazumi) Groupoid-theoretical methods in the mapping class groups of surfaces, arXiv:1109.6479
  2. (with Anton Alekseev, Nariya Kawazumi and Florian Naef) The Goldman-Turaev Lie bialgebra and the Kashiwara-Vergne problem in higher genera, arXiv:1804.09566

講演(過去のものはこちら):

研究集会:

科研費:


講義・演習

講義の補足資料や演習プリント等を載せる予定です。

2022年度

過去に担当した授業の記録はこちら