Index Theorem 1
Book Details
Format
Paperback / softback
Book Series
Translations of Mathematical Monographs
ISBN-10
0821820974
ISBN-13
9780821820971
Publisher
American Mathematical Society
Imprint
American Mathematical Society
Country of Manufacture
US
Country of Publication
GB
Publication Date
Nov 30th, 2007
Weight
267 grams
Product Classification:
Mathematics
KSh 25,400.00
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The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solutions of a linear elliptic partial differential operator on a manifold in terms of purely topological data related to the manifold and the symbol of the operator. This title gives a proof of the index theorem, based on the localization theorem.
The Atiyah-Singer index theorem is a remarkable result that allows one to compute the space of solutions of a linear elliptic partial differential operator on a manifold in terms of purely topological data related to the manifold and the symbol of the operator. First proved by Atiyah and Singer in 1963, it marked the beginning of a completely new direction of research in mathematics with relations to differential geometry, partial differential equations, differential topology, K-theory, physics, and other areas.
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