Mapping class group and the Casson invariant

被引：3

作者：

Perron, B ^{[1
]}

机构：

[1] Univ Bourgogne, Inst Math Bourgogne, CNRS, UMR 5584,UFR Sci & Tech, F-21078 Dijon, France

来源：

ANNALES DE L INSTITUT FOURIER | 2004年 / 54卷 / 04期

关键词：

mapping class group; Johnson; Morita homeomorphismes; homology spheres; Casson invariant;

D O I：

10.5802/aif.2045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using a new definition of the second and third Johsnon homomorphisms, we simplify and extend the work of Morita on the Casson invariant of homology-spheres defined by Heegard splittings. In particular, we calculate the Casson invariant of the homology-sphere obtained by gluing two handlebodies along a homeomorphism of the boundary belonging to the Torelli subgroup.

引用

页码：1107 / +

页数：33

共 50 条

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