佐藤正寿(Masatoshi Sato)

English
Top 履歴 講演 予定

東京電機大学 未来科学部数学系列 准教授

〒120-8551 東京都足立区千住旭町5

E-mail address: msato + @mail.dendai.ac.jp (Please remove +)


論文
  • A class function on the mapping class group of an orientable surface and the Meyer cocycle
    Algebr. Geom. Topol. 8 (2008), no. 3, 1647--1665.

  • The abelianization of a symmetric mapping class group
    Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 2, 369--388.

  • The abelianization of the level d mapping class group
    Journal of Topology 3 (2010), 847--882.

  • (with K. Hayano) Four-manifolds admitting hyperelliptic broken Lefschetz fibrations
    Michigan Mathematical Journal 62 (2013), no. 2, 323--351.

  • A local signature for fibered 4-manifolds with a finite group action
    Tohoku Math. J. (2) 65 (2013), No. 4 , 545--568.

  • (with K. Hayano) A signature formula for hyperelliptic broken Lefschetz fibrations
    Topology and its Applications 173 (2014), 157--174.

  • (with S. Hirose) A minimal generating set of the level 2 mapping class group of a non-orientable surface
    Math. Proc. Cambridge Philos. Soc. 157 (2014), No. 2, 345--355.

  • (with D. Calegari and N. Monden) On stable commutator length in hyperelliptic mapping class groups
    Pacific Journal of Mathematics 272 (2014), No. 2, 323--351.

  • (with T. Ishida) A twisted first homology group of the handlebody mapping class group
    Osaka J. Math. 54 (2017), No. 3, 587--619.

  • (with Y. Kuno) The Meyer function on the handlebody group
    Turkish J. Math. 44 (2020), No. 5, 1520--1533.


    プレプリント
  • (with Y. Nozaki and M. Suzuki) Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor
    arXiv:2001.09825, to appear in Geometry and Topology.

  • (with Y. Nozaki and M. Suzuki) On the kernel of the surgery map restricted to the 1-loop part
    arXiv:2103.07086.


    講究録など
  • 曲面の貼り合わせに伴う写像類群上の類関数
    双曲空間のトポロジー、複素解析および数論, 数理解析研究所講究録 1571 (2007) 118--122.

  • 球面上の巡回分岐被覆の四次元ファイバー空間における局所符号数
    離散群と双曲空間の解析学とトポロジー, 数理解析研究所講究録 1660 (2009) 114--127.

  • On stable commutator length in the mapping class groups of pointed spheres
    RIMS Kôkyûroku Bessatsu B48: Analysis and Geometry of Discrete Groups and Hyperbolic Spaces (2014), 43--56.

  • 有向曲面, 非有向曲面のレベルつき写像類群のアーベル化について
    離散群と双曲空間の複素解析とトポロジー, 数理解析研究所講究録 1936 (2015) 68--77.