On Meyer's funedon of hyperelliptic mapping class groups

被引：21

作者：

Morifuji, T ^{[1
]}

机构：

[1] Tokyo Univ Agr & Technol, Dept Math, Koganei, Tokyo 1848588, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2003年 / 55卷 / 01期

关键词：

mapping class group; signature cocycle; n-invariant; Casson invariant;

D O I：

10.2969/jmsj/1196890845

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 eta-invariant of the signature operator and Morita's homomorphism, which is the core of the Casson invariant of integral homology 3-spheres.

引用

页码：117 / 129

页数：13

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