On meyer’s function of hyperelliptic mapping class groups

Takayuki Morifuji

doi:10.2969/jmsj/1196890845

On meyer’s function of hyperelliptic mapping class groups

Takayuki Morifuji

Research output: Contribution to journal › Article › peer-review

19 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 language	English
Pages (from-to)	117-129
Number of pages	13
Journal	Journal of the Mathematical Society of Japan
Volume	55
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/1196890845
Publication status	Published - 2003
Externally published	Yes

Keywords

Casson invariant
Hη-invariant
Mapping class group
Signature cocycle

ASJC Scopus subject areas

Mathematics(all)

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AB - 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.

KW - Casson invariant

KW - Hη-invariant

KW - Mapping class group

KW - Signature cocycle

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On meyer’s function of hyperelliptic mapping class groups

Abstract

Keywords

ASJC Scopus subject areas

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