A01=American Mathematical Society
Author_American Mathematical Society
Category=PB
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Product details
- ISBN 9780821820971
- Weight: 267g
- Publication Date: 30 Nov 2007
- Publisher: American Mathematical Society
- Publication City/Country: US
- Product Form: Paperback
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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. 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.
