Elliptic curves and modular forms in algebraic topology
Subtitle: proceedings of a conference held at the Institute for Advanced Study, Princeton, Sept. 15-17, 1986
By: P.S. Landweber, ed.
Contributors: Landweber, P. S. 1940-
Series: Lecture notes in mathematics ;; 1326; Lecture notes in mathematics (Springer-Verlag) ;; 1326.
Publisher: Springer-Verlag
Published: 1988
Place of publication: Berlin; New York
Language: eng
Number of pages: 224
Subjects: Curves, Elliptic -- Congresses.; Forms, Modular -- Congresses.; Algebraic topology -- Congresses.
Description: 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.
Notes: Includes bibliographies.