Conformal Field Theory and Topology
About this Title
Toshitake Kohno, University of Tokyo, Tokyo, Japan
Publication: Translations of Mathematical Monographs
Publication Year: 2002; Volume 210
ISBNs: 978-0-8218-2130-5 (print); 978-1-4704-4635-2 (online)
MathSciNet review: MR1905659
MSC: Primary 57R56; Secondary 17B68, 57M27, 81T40
The aim of this book is to provide the reader with an introduction to conformal field theory and its applications to topology. The author starts with a description of geometric aspects of conformal field theory based on loop groups. By means of the holonomy of conformal field theory he defines topological invariants for knots and 3-manifolds. He also gives a brief treatment of Chern-Simons perturbation theory.
Graduate students and research mathematicians interested in topology and algebraic geometry.
Table of Contents
- Geometric aspects of conformal field theory
- Jones-Witten theory
- Chern-Simons perturbation theory
- Further developments and prospects