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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 /
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Catalogue Record 48798
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Catalogue Information
Field name
Details
Dewey Class
514.2
Title
Elliptic Curves and Modular Forms in Algebraic Topology ([EBook] :) : Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15–17, 1986 / / edited by Peter S. Landweber.
Added Personal Name
Landweber, Peter S.
editor.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1988.
Physical Details
VIII, 232 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1326
ISBN
9783540393009
Summary Note
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 note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0078035
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Subject References:
Algebraic Topology
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Mathematics
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Physics
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Theoretical, Mathematical and Computational Physics
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Authors:
Landweber, Peter S.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
514.2
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