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Topological quantum field theories and geometry of loop spaces. Lecture notes of the conference held at Budapest, Hungary, June 25-July 1, 1989. (English) Zbl 1097.58500

Singapore: World Scientific (ISBN 981-02-1173-2). x, 112 p. (1992).
Table of contents: Michael F. Atiyah, A new knot invariant. I (1–9); Michael F. Atiyah, A new knot invariant. II. Topological quantum field theories and the Jones polynomial (10–15); Graeme Segal, Representations of loop groups. I. Factorization theorems (16–25); Graeme Segal, Representations of loop groups. II. The determinant bundle (26–35); Graeme Segal, Topological quantum field theories with finite groups (36–42); John D. S. Jones, The index theorem and differential forms on loop spaces (43–64); Raoul Bott, Topological aspects of loop groups (65–80); László Fehér and András Stipsicz, Spin structures and Dirac operators (81–89); László Fehér and András Stipsicz, The Wiener integral and the Feynman-Kac formula (90–94); László Fehér and András Stipsicz, Topological quantum field theories (95–101); László Fehér and András Stipsicz, Borel-Weil theory (102–110).

MSC:

58-06 Proceedings, conferences, collections, etc. pertaining to global analysis
22E67 Loop groups and related constructions, group-theoretic treatment
57M25 Knots and links in the \(3\)-sphere (MSC2010)
58B25 Group structures and generalizations on infinite-dimensional manifolds
58J22 Exotic index theories on manifolds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81Txx Quantum field theory; related classical field theories
57R56 Topological quantum field theories (aspects of differential topology)
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