Gerbes, Clifford modules and the index theorem

被引：10
|
作者：
Murray, MK [1 ]
Singer, MA
机构：
[1] Univ Adelaide, Dept Pure Math, Adelaide, SA 5005, Australia
[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2004年 / 26卷 / 04期
基金：
澳大利亚研究理事会;
关键词：
index theory; gerbes; twisted K-theory; Dirac operator; Clifford modules;
D O I：
10.1023/B:AGAG.0000047514.71785.96
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The use of bundle gerbes and bundle gerbe modules is considered as a replacement for the usual theory of Clifford modules on manifolds that fail to be spin. It is shown that both sides of the Atiyah-Singer index formula for coupled Dirac operators can be given natural interpretations using this language and that the resulting formula is still an identity.
引用
收藏
页码：355 / 367
页数：13
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