The A.P.S. signature formula for measured foliations

Abstract

We define the Analytical signature, the Hodge signature and the de Rham signature for a foliated manifold with boundary with foliation transverse to the boundary. We show that all these signatures coincide and a Hirzebruch formula is valid.

New version, appendix on non commutative integration theory added

References in corpus (4)

• Index, eta and rho-invariants on foliated bundles
• Analysis and Geometry of Boundary-Manifolds of Bounded Geometry
• The Atiyah Patodi Singer signature formula for measured foliations
• The Atiyah Patodi Singer index formula for measured foliations