Elliptic Curves and Modular Forms in Algebraic Topology: Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15-17, 1986: 1326 - Brossura

 
9783540194903: Elliptic Curves and Modular Forms in Algebraic Topology: Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15-17, 1986: 1326

Sinossi

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. 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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti

Elliptic genera: An introductory overview.- Elliptic formal groups over ? and F p in applications to number theory, computer science and topology.- Elliptic cohomology and modular forms.- Supersingular elliptic curves and congruences for legendre polynomials.- Some weil group representations motivated by algebraic topology.- Genres elliptiques equivariants.- Complex cobordism theory for number theorists.- Dirichlet series and homology theory.- Constrained Hamiltonians an introduction to homological algebra in field theoretical physics.- The index of the dirac operator in loop space.- Jacobi quartics, legendre polynomials and formal groups.- Note on the Landweber-Stong elliptic genus.

Product Description

Book by None

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Altre edizioni note dello stesso titolo

9783662203811: Elliptic Curves and Modular Forms in Algebraic Topology: Proceedings of a Conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986

Edizione in evidenza

ISBN 10:  3662203812 ISBN 13:  9783662203811
Casa editrice: Springer, 2014
Brossura