Conformal Field Theory and Topology
Publisher: American Mathematical Society | ISBN: 082182130X | edition 2002 | PDF | 184 pages | 12,9 mb
Publisher: American Mathematical Society | ISBN: 082182130X | edition 2002 | PDF | 184 pages | 12,9 mb
This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds. The book is organized as follows: The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry. Chapter 1 presents conformal field theory based on the geometry of loop groups. Chapter 2 deals with the holonomy of conformal field theory. Chapter 3 treats Chern-Simons perturbation theory. The final chapter discusses topological invariants for 3-manifolds derived from Chern-Simons perturbation theory.















