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Index Theory, Eta Forms, and Deligne Cohomology (Memoirs of the American Mathematical Society)
Ulrich Bunke
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Description for Index Theory, Eta Forms, and Deligne Cohomology (Memoirs of the American Mathematical Society)
Paperback. Sets up a language to deal with Dirac operators on manifolds with corners of arbitrary co-dimension. This book develops a theory of boundary reductions, introducing the notion of a taming of a Dirac operator as an invertible perturbation by a smoothing operator. Series: Memoirs of the American Mathematical Society. Num Pages: 120 pages. BIC Classification: PBM; PBP. Category: (UP) Postgraduate, Research & Scholarly. Weight in Grams: 212.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2009
Publisher
Amer Mathematical Society
Condition
New
Series
Memoirs of the American Mathematical Society
Number of Pages
120
Place of Publication
Providence, United States
ISBN
9780821842843
SKU
V9780821842843
Shipping Time
Usually ships in 5 to 9 working days
Ref
99-3
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