Gerbes, Clifford modules and the index theorem

Details Gerbes, Clifford modules and the index theorem Gerbes, Clifford modules and the index theorem

2003-02-10

arxiv.org/abs/math/0302096v2

Mathematics

Differential Geometry

10 pages, LaTeX (Added eference to preprint math.DG/0302050 by T. Aristide)

Scientific paper

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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