Elliptic curves and modular forms in algebraic topology : proceedings of a conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986 / P.S. Landweber, ed.
Contributor(s): Landweber, P. S. (Peter S.)Material type: TextSeries: Lecture notes in mathematics (Springer-Verlag): 1326.Publisher: Berlin ; New York : Springer-Verlag, ©1988Description: 1 online resource (224 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540393009; 3540393005Subject(s): Curves, Elliptic -- Congresses | Forms, Modular -- Congresses | Algebraic topology -- Congresses | Courbes elliptiques -- Congrès | Formes modulaires -- Congrès | Topologie algébrique -- Congrès | Algebraic topology | Curves, Elliptic | Forms, Modular | Ellipsen (wiskunde) | Algebraïsche topologie | Elliptische Kurve | Algebraische Topologie | Kongress | Modulform | Algebraische Geometrie | AufsatzsammlungGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: Elliptic curves and modular forms in algebraic topology.DDC classification: 510 s | 516.3/52 LOC classification: QA3 | .L28 no. 1326 | QA567.2.E44Other classification: 31.65 Online resources: Click here to access online
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Includes bibliographical references.
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.
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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