On Meyer's function of hyperelliptic mapping class groups

Takayuki Morifuji

Research output: Contribution to journal › Article

17 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
Publication statusPublished - 2003 Jan
Externally publishedYes

Fingerprint

Mapping Class Group
Casson Invariant
Homomorphism
Homology
Explicit Formula
Signature
Closed
Invariant
Operator

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On Meyer's function of hyperelliptic mapping class groups. / Morifuji, Takayuki.

In: Journal of the Mathematical Society of Japan, Vol. 55, No. 1, 01.2003, p. 117-129.

Research output: Contribution to journal › Article

Morifuji, T 2003, 'On Meyer's function of hyperelliptic mapping class groups', Journal of the Mathematical Society of Japan, vol. 55, no. 1, pp. 117-129.
Morifuji T. On Meyer's function of hyperelliptic mapping class groups. Journal of the Mathematical Society of Japan. 2003 Jan;55(1):117-129.
Morifuji, Takayuki. / On Meyer's function of hyperelliptic mapping class groups. In: Journal of the Mathematical Society of Japan. 2003 ; Vol. 55, No. 1. pp. 117-129.
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