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arxiv: 1005.0161 · v4 · pith:OKCQ5GKAnew · submitted 2010-05-02 · 🧮 math.DG

The index of a transverse Dirac-type operator: the case of abelian Molino sheaf

classification 🧮 math.DG
keywords sheafabeliandirac-typeindexmolinooperatortransversealgebras
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We give a local formula for the index of a transverse Dirac-type operator on a compact manifold with a Riemannian foliation, under the assumption that the Molino sheaf is a sheaf of abelian Lie algebras.

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