Cusp geometry and the cobordism invariance of the index
Differential Geometry
2007-05-23 v3 Analysis of PDEs
Abstract
The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null.
Keywords
Cite
@article{arxiv.math/0305395,
title = {Cusp geometry and the cobordism invariance of the index},
author = {Sergiu Moroianu},
journal= {arXiv preprint arXiv:math/0305395},
year = {2007}
}
Comments
17 pages, abridged version, to appear in Adv. Math