Translator Disclaimer
VOL. 52 | 2008 Johnson's homomorphisms and the rational cohomology of subgroups of the mapping class group
Takuya Sakasai

Editor(s) Robert Penner, Dieter Kotschick, Takashi Tsuboi, Nariya Kawazumi, Teruaki Kitano, Yoshihiko Mitsumatsu

Abstract

The Torelli group and the Johnson kernel are important subgroups of the mapping class group of a surface. Using Johnson's homomorphisms as their free abelian quotients together with the representation theory of the symplectic groups, we will give some descriptions of cup products of rational cohomology classes of degree one obtained from the dual of Johnson's homomorphisms.

Information

Published: 1 January 2008
First available in Project Euclid: 28 November 2018

zbMATH: 1166.57011
MathSciNet: MR2509707

Digital Object Identifier: 10.2969/aspm/05210093

Rights: Copyright © 2008 Mathematical Society of Japan

PROCEEDINGS ARTICLE
17 PAGES


SHARE
Back to Top