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.
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页码：1107 / +
页数：33
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