On meyer’s function of hyperelliptic mapping class groups

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18 Citations (Scopus)

Abstract

In this paper, we consider Meyer's function of hyperelliptic mapping class groups of orientable closed surfaces and give certain explicit formulae for it. Moreover we study geometric aspects of Meyer's function, and relate it to the η- invariant of the signature operator and Morita's homomorphism, which is the core of the Casson invariant of integral homology 3-spheres.

Original languageEnglish
Pages (from-to)117-129
Number of pages13
JournalJournal of the Mathematical Society of Japan
Volume55
Issue number1
DOIs
Publication statusPublished - 2003

Keywords

  • Casson invariant
  • Hη-invariant
  • Mapping class group
  • Signature cocycle

ASJC Scopus subject areas

  • Mathematics(all)

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