Gerbes,Clifford Modules and the Index Theorem |
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| Authors: | Murray Michael K Singer Michael A |
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| Institution: | (1) Department of Pure Mathematics, University of Adelaide, Adelaide, SA, 5005, Australia;(2) School of Mathematics, King's Buildings, University of Edinburgh, EH9 3JZ Scotland, U.K. |
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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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| Keywords: | index theory gerbes twisted K-theory Dirac operator Clifford modules |
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