English

Local Index Theory over Etale Groupoids

Differential Geometry 2007-05-23 v2

Abstract

We give a superconnection proof of Connes' index theorem for proper cocompact actions of etale groupoids. This includes Connes' general foliation index theorem for foliations with Hausdorff holonomy groupoid.

Cite

@article{arxiv.math/0106035,
  title  = {Local Index Theory over Etale Groupoids},
  author = {Alexander Gorokhovsky and John Lott},
  journal= {arXiv preprint arXiv:math/0106035},
  year   = {2007}
}

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Final version