Elliptic curves and modular forms in algebraic topology : proceedings of a conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986 /

Elliptic curves and modular forms in algebraic topology : proceedings of a conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986 /

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Bibliographic Details
Imprint:	Berlin ; New York : Springer-Verlag, ©1988.
Description:	1 online resource (224 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1326 Lecture notes in mathematics (Springer-Verlag) ; 1326.
Subject:	Curves, Elliptic -- Congresses. Forms, Modular -- Congresses. Algebraic topology -- Congresses. Algebraic topology. Curves, Elliptic. Forms, Modular. Conference papers and proceedings.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11070393

Hidden Bibliographic Details
Other authors / contributors:	Landweber, P. S. (Peter S.), 1940-
ISBN:	9783540393009 3540393005 0387194908 9780387194905
Notes:	Includes bibliographical references. Restrictions unspecified Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010. Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 digitized 2010 HathiTrust Digital Library committed to preserve Print version record.
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.
Other form:	Print version: Elliptic curves and modular forms in algebraic topology. Berlin ; New York : Springer-Verlag, ©1988 0387194908

Table of Contents:

From the contents: D.V. Chudnovsky, G.V. Chudnovsky: Elliptic Formal Groups over Z and Fp in Applications to Number Theory, Computer Science and Topology
P.S. Landweber: Elliptic Cohomology and Modular Forms
S. Ochanine: Genres Elliptiques Equivariants
L. Smith and R.E. Stong: Dirichlet Series and Homology Theories
E. Witten: The Index of the Dirac Operator in Loop Space
D. Zagier: Note on the Landweber-Stong Elliptic Genus.