English

K-homology and index theory on contact manifolds

Operator Algebras 2012-12-07 v3 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.1107.1741,
  title  = {K-homology and index theory on contact manifolds},
  author = {Paul F. Baum and Erik van Erp},
  journal= {arXiv preprint arXiv:1107.1741},
  year   = {2012}
}

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Revised version