Gerbes, Clifford Modules and the index theorem
Date
2004
Authors
Murray, M.
Singer, M.
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Journal article
Citation
Annals of Global Analysis and Geometry, 2004; 26(4):355-367
Statement of Responsibility
Michael K. Murray and Michael A. Singer
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Abstract
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.
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The original publication is available at www.springerlink.com