The Index of Hypoelliptic Operators on Foliated Manifolds
Differential Geometry
2010-02-24 v2 Functional Analysis
Abstract
We present an index theorem for certain hypoelliptic differential operators on foliated manifolds. Our proof is a development of Alain Connes tangent groupoid proof of the Atiyah-Singer index theorem. The paper is largely self-contained.
Keywords
Cite
@article{arxiv.0811.1969,
title = {The Index of Hypoelliptic Operators on Foliated Manifolds},
author = {Erik van Erp},
journal= {arXiv preprint arXiv:0811.1969},
year = {2010}
}
Comments
15 pages