English

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

Differential Geometry 2009-12-11 v2

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.

Keywords

Cite

@article{arxiv.0907.0801,
  title  = {The A.P.S. signature formula for measured foliations},
  author = {Paolo Antonini},
  journal= {arXiv preprint arXiv:0907.0801},
  year   = {2009}
}

Comments

New version, appendix on non commutative integration theory added