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

Format:

Book

Contributor:

Landweber, P. S. (Peter S.), 1940- editor.

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1326.

Lecture Notes in Mathematics, 0075-8434 ; 1326

Language:

English

Subjects (All):

Algebraic topology.

Algebraic Topology.

Theoretical, Mathematical and Computational Physics.

Local Subjects:

Algebraic Topology.

Theoretical, Mathematical and Computational Physics.

Physical Description:

1 online resource (VIII, 232 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988.

System Details:

text file PDF

Summary:

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.

Contents:

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.

Other Format:

Printed edition:

ISBN:

9783540393009

Access Restriction:

Restricted for use by site license.