Perturbative 3-Manifold Invariants

Prof. Dr. A. S. Cattaneo 
WS 2000-2001

Mi 15-17, oder nach Vereinbarung
Höhere Vorlesung, Gruppe MA 11

The aim of the course is to present, to students in mathematics and in theoretical or mathematical physics, various constructions of 3 -manifold invariants inspired from the perturbative expansion of Chern-Simons theory. Some of these constructions rely on the surgery presentation of the manifold and are obtained in terms of the so-called Kontsevich integral. Other constructions are based on configuration-space integrals defined on the manifold itself.

The course will introduce all these techniques together with the relevant background (including finite-type knot invariants and Feynman diagrams). A basic knowledge of differential geometry and algebraic topology is however assumed.


File translated from TEX by TTH, version 2.34.
On 24 Jul 2000, 19:28.