A relation on spin bundle gerbes and Mayer's Dirac operators

被引：0
|
作者：
Tomoda, A [1 ]
机构：
[1] Keio Univ, Dept Math, Kohoku Ku, Yokohama, Kanagawa 223, Japan
来源：
Noncommutative Geometry and Physics | 2005年
关键词：
D O I：
10.1142/9789812775061_0021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Exploiting the notion of bundle gerbe due to Murray, Murray and Singer constructed a generalization of Dirac operators for possibly non-spin manifolds. We shall provide an alternative proof for their index formula, and clarify the relation between a generalized Dirac operators due to Mayer and their operators. Furthermore, we determine the twisted Chern character of some bundle gerbe modules.
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页码：369 / 378
页数：10
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