Masatoshi Sato

Japanese

Professor at
Department of Mathematics, School of Science and Technology for Future Life,
Tokyo Denki University

5 Senju Asahi-cho, Adachi-ku,
Tokyo 120-8551, JAPAN

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


Papers
  • 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.

  • (with Y. Nozaki and M. Suzuki) Abelian quotients of the Y-filtration on the homology cylinders via the LMO functor
    Geometry & Topology 26 (2022), No. 1, 221--282.

  • (with Y. Nozaki and M. Suzuki) On the kernel of the surgery map restricted to the 1-loop part
    Journal of Topology 15 (2022), No. 2, 587--619.

  • (with Y. Nozaki and M. Suzuki) A non-commutative Reidemeister-Turaev torsion of homology cylinders
    Trans. Amer. Math. Soc. 376 (2023), No. 7, 5045-5088.


    Preprints
  • (with Q. Faes and G. Massuyeau) On the degree-two part of the associated graded of the lower central series of the Torelli group
    arXiv:2407.07981.

  • (with Y. Nozaki and M. Suzuki) Torsion elements in the associated graded modules of filtrations over the Torelli group and the homology cylinders
    arXiv:2410.10061.