A Geometric Interpretation of the χy Genus¶on Hyper-Kähler Manifolds

被引：0
|
作者：
George Thompson
机构：
[1] ICTP,
[2] P.O. Box 586,undefined
[3] 34100 Trieste,undefined
[4] Italy. E-mail: thompson@ictp.trieste.it,undefined
来源：
Communications in Mathematical Physics | 2000年 / 212卷
关键词：
Manifold; Cohomology Group; Geometric Interpretation; Mapping Torus; Super Trace;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The group SL(2) acts on the space of cohomology groups of any hyper-Kähler manifold X. The χy genus of a hyper-Kähler X is shown to have a geometric interpretation as the super trace of an element of SL(2). As a by product one learns that the generalized Casson invariant for a mapping torus is essentially the χy genus.
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页码：649 / 652
页数：3
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