Geometric and Topological Methods for Quantum Field Theory

• Corporate Author: SpringerLink (Online service)
• Other Authors: Ocampo, Hernán (Editor), Paycha, Sylvie (Editor), Vargas, Andrés (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Lecture Notes in Physics, 668
• Subjects: Physics.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Quantum field theory.; String theory.; Elementary particles (Physics).; Mathematical Methods in Physics.; Quantum Field Theories, String Theory.; Elementary Particles, Quantum Field Theory.; Manifolds and Cell Complexes (incl. Diff.Topology).; Differential Geometry.

This volume offers an introduction, in the form of four extensive lectures, to some recent developments in several active topics at the interface between geometry, topology and quantum field theory. The first lecture is by Christine Lescop on knot invariants and configuration spaces, in which a univ...

Table of Contents:

• Knot Invariants and Configuration Space Integrals (Christine Lescop)
• Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar)
• Introduction to String Compactification (Anamaria Font, Stefan Theisen)
• Index Theorems and Noncommutative Topology (Thierry Fack).