Index Theory, Eta Forms, and Deligne Cohomology

Index Theory, Eta Forms, and Deligne Cohomology - Memoirs of the American Mathematical Society

Paperback (30 Mar 2009)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821842843
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 515.7242
DEWEY edition: 22
Language: English
Number of pages: 120
Weight: 212g
Height: 254mm
Width: 177mm
Spine width: 12mm