A higher index theorem for foliated manifolds with boundary

Details A higher index theorem for foliated manifolds with boundary A higher index theorem for foliated manifolds with boundary

2007-01-17

arxiv.org/abs/math/0701482v3

Mathematics

Differential Geometry

to appear in the Bulletin des Sciences Mathematiques

Scientific paper

Following Gorokhovsky and Lott and using an extension of the b-pseudodifferential calculus of Melrose, we give a formula for the Chern character of the Dirac index class of a longitudinal Dirac type operators on a foliated manifold with boundary. For this purpose we use the Bismut local index formula in the context of non commutative geometry. This paper uses heavily the methods and technical results developed by E.Leichtnam and P.Piazza.

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