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Gerbes, Clifford modules and the index theorem | | Michael K. Murray
; Michael A. Singer
; | | Date: |
10 Feb 2003 | | Subject: | Differential Geometry MSC-class: 58J20 | math.DG | | Affiliation: | University of Adelaide), Michael A. Singer (University of Edinburgh | | 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. | | Source: | arXiv, math.DG/0302096 | | Services: | Forum | Review | PDF | Favorites | |
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