Index theory, eta forms, and Deligne cohomology
Ulrich Bunke
This paper sets up a language to deal with Dirac operators on manifolds with corners of arbitrary co-dimension. In particular the author develops a precise theory of boundary reductions. The author introduces the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing operator. Given a Dirac operator on a manifold with boundary faces the author uses the tamings of its boundary reductions in order to turn the operator into a Fredholm operator. Its index is an obstruction against extending the taming from the boundary to the interior. In this way he develops an inductive procedure to associate Fredholm operators to Dirac operators on manifolds with corners and develops the associated obstruction theory
种类:
年:
2009
出版社:
Amer Mathematical Society
语言:
english
页:
134
ISBN 10:
0821842846
ISBN 13:
9780821842843
系列:
Memoirs of the American Mathematical Society 0928
文件:
PDF, 828 KB
IPFS:
,
english, 2009