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.
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.