Topological Quantum Field Theories and Geometry of Loop Spaces - Proceedings of the Conference on Geometry and Analysis of Loop Spaces

Feher, Laszlo (EDT)/ Stipsicz, Andras (EDT)/ Szenthe, Janos (EDT)

World Scientific Publishing Co Pte Ltd（1992/10発売）

• 製本 Hardcover:ハードカバー版／ページ数 124 p.
• 言語 ENG
• 商品コード 9789810211738
• DDC分類 516

Full Description

These lectures introduce some very popular fields in topology. The topics discussed are interrelated with modern physics and include works of four leading researchers: M Atiyah, R Bott, J Jones and G Segal. The original lectures presented at the conference at Budapest are enlarged with appendices to make these notes self-contained.

Contents

A new knot-invariant - I,II, topological quantum field theories and the Jones polynomial, M.F. Atiyah; representations of loop groups I - factorization theorems, G. Segal; representations of loop groups II - the determinant bundle, G. Segal; topological quantum field theories with finite groups, G. Segal; the Index theorem and differential forms of loop spaces, J.D.S. Jones; topological aspects on loop groups, R. Bott. Appendices: Spin structures and dirac operators; the Weiner integral and the Feynman-Kac formula; topological quantum field theories; Borel-Weil theory.