K-homology and index theory on contact manifolds

Details K-homology and index theory on contact manifolds K-homology and index theory on contact manifolds

2011-07-08

arxiv.org/abs/1107.1741v2

Mathematics

Operator Algebras

Revised version

Scientific paper

Let X be a closed connected contact manifold. On X there is a naturally
arising class of hypoelliptic (but not elliptic) operators which are Fredholm.
In this paper we solve the index problem for this class of operators. The
solution is achieved by combining Van Erp's earlier partial result with the
Baum-Douglas isomorphism of analytic and geometric K-homology.

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