Index Theory, Eta Forms, and Deligne Cohomology

Author:   Ulrich Bunke
Publisher:   American Mathematical Society
Edition:   New ed.
Volume:   198, 928
ISBN:  

9780821842843


Pages:   120
Publication Date:   30 March 2009
Format:   Paperback
Availability:   In Print   Availability explained
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Index Theory, Eta Forms, and Deligne Cohomology


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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.

Full Product Details

Author:   Ulrich Bunke
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New ed.
Volume:   198, 928
Weight:   0.212kg
ISBN:  

9780821842843


ISBN 10:   0821842846
Pages:   120
Publication Date:   30 March 2009
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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