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.
| ISBN: | 9780821820971 |
| Publication date: | 30th November 2007 |
| Author: | |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Series: | Translations of Mathematical Monographs |
| Genres: |
Mathematics |