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

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

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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