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Mapping class groups of low genus and their cohomology

About this Title

D. J. Benson and F. R. Cohen

Publication: Memoirs of the American Mathematical Society
Publication Year: 1991; Volume 90, Number 443
ISBNs: 978-0-8218-2506-8 (print); 978-1-4704-0869-5 (online)
DOI: https://doi.org/10.1090/memo/0443
MathSciNet review: 1052554
MSC: Primary 57M20; Secondary 20F38, 20J05, 22E40, 55R99, 55T99, 57N05, 57T99

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Table of Contents

Chapters

  • Introduction
  • Artin’s braid group and the homology of certain subgroups of the mapping class group
  • Specht modules and the cohomology of mapping class groups
  • The mod 2 cohomology of the mapping class group for a surface of genus two