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

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

2009-07-04

arxiv.org/abs/0907.0801v2

Mathematics

Differential Geometry

New version, appendix on non commutative integration theory added

Scientific paper

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.

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