An index theorem for manifolds with boundary
K-Theory and Homology
2009-05-12 v1 Differential Geometry
Abstract
In his book (II.5), Connes gives a proof of the Atiyah-Singer index theorem for closed manifolds by using deformation groupoids and appropiate actions of these on R^N. Following these ideas, we prove an index theorem for manifolds with boundary.
Cite
@article{arxiv.0905.1420,
title = {An index theorem for manifolds with boundary},
author = {Paulo Carrillo Rouse and Bertrand Monthubert},
journal= {arXiv preprint arXiv:0905.1420},
year = {2009}
}
Comments
6 pages. Preprint submitted to the Academie des Sciences