Elliptic Curves and Modular Forms in Algebraic Topology: Proceedings of a Conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, in Mathematics) (English and French Edition)
| Author | : | |
| Rating | : | 4.61 (960 Votes) |
| Asin | : | 3540194908 |
| Format Type | : | paperback |
| Number of Pages | : | 232 Pages |
| Publish Date | : | 2014-09-04 |
| Language | : | English |
DESCRIPTION:
Ed. Witten's rich article on the index of the Dirac operator in loop space presents a mathematical treatment of his interpretation of elliptic genera in terms of quantum field theory. A short introductory article gives an account of the growth of this area prior to the conference.. A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these topics through to quantum field theory, with considerable attention to formal groups, homology and cohomology theories, and circle actions on spin manifolds
A sampling of the early work on elliptic cohomology Elliptic objects or elliptic genera been of great interest to many mathematicians in the last few decades because of their connections to algebraic topology and algebraic geometry. High energy physicists may have come across elliptic objects in the context of superconformal field theory and its connection with mirror symmetry or in th