Swiss Knots 2011

Knot Theory and Algebra

Lake Thun, May 23-27

Quantum fundamental groups and quantum representation varieties for 3-manifolds

Prof. Dr. Kazuo Habiro's talk
Date: 25.05.11   Time: 09.00 - 09.50   Room: Gwatt Zentrum

Abstract: The "quantum fundamental group" of a 3-manifold is a refinement of the fundamental group, involving isotopy classes of bottom tangles instead of homotopy classes of based loops. Using the quantum fundamental group, we can construct the "quantum representation variety" associated to each co-ribbon Hopf algebras. I plan to discuss definitions and properties of these 3-manifold invariants.