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.

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Bibliographic Information

Book Title: Elliptic Curves and Modular Forms in Algebraic Topology
Book Subtitle: Proceedings of a Conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986
Editors: Peter S. Landweber
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0078035
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1988
Softcover ISBN: 978-3-540-19490-3Published: 13 July 1988
eBook ISBN: 978-3-540-39300-9Published: 15 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 232
Topics: Algebraic Topology, Theoretical, Mathematical and Computational Physics

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Table of contents (12 papers)

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