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arxiv: 1107.3007 · v1 · pith:Q6UDNAJKnew · submitted 2011-07-15 · 🧮 math.KT · math.DG

Index character associated to the projective Dirac operator

classification 🧮 math.KT math.DG
keywords indexassociateddiracformulaoperatorprojectivecalculatecanonically
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We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the projective Dirac operator by Mathai--Melrose--Singer.

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