Gerbes, Clifford Modules and the Index Theorem

نویسندگان

  • MICHAEL K. MURRAY
  • MICHAEL A. SINGER
چکیده

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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تاریخ انتشار 2003