Gerbes, Clifford modules and the index theorem
微分几何
2007-05-23 v2
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
@article{arxiv.math/0302096,
title = {Gerbes, Clifford modules and the index theorem},
author = {Michael K. Murray and Michael A. Singer},
journal= {arXiv preprint arXiv:math/0302096},
year = {2007}
}
备注
10 pages, LaTeX (Added eference to preprint math.DG/0302050 by T. Aristide)