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Elliptic Curves and Modular Forms in Algebraic Topology

Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15–17, 1986

  • Editors
  • Peter S. Landweber

Part of the Lecture Notes in Mathematics book series (LNM, volume 1326)

Table of contents

About these proceedings

Introduction

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.

Keywords

Algebraic topology Loop group Theoretical physics cohomology homological algebra homology

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0078035
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-19490-3
  • Online ISBN 978-3-540-39300-9
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site