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

2010/05/02 by Alexander Gorokhovsky, John Lott, Gorokhovsky, Alexander +1
Mathematics · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1005.0161

Abstract

We give a local formula for the index of a transverse Dirac-type operator on\na compact manifold with a Riemannian foliation, under the assumption that the\nMolino sheaf is a sheaf of abelian Lie algebras.\n

Related

• Index theorey and Non-Commutative Geometry. II. Dirac operators and index bundles
• Index of transverse Dirac operator and cohomotopy Seiberg-Witten\n invariant for codimension 4 Riemannian foliation
• Index theorem for equivariant Dirac operators on non-compact manifolds
• A higher index theorem for foliated manifolds with boundary
• Index theory in spaces of manifolds