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Gerbes, Clifford modules and the index theorem

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 نشر من قبل Dr Michael K. Murray
 تاريخ النشر 2003
  مجال البحث
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 تأليف Michael K. Murray




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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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