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.

引用

页码：369 / 378

页数：10

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