Quantum fundamental groups and quantum representation varieties for 3-manifolds
Vortrag von Prof. Dr. Kazuo Habiro Datum: 03.02.11 Zeit: 14.00 - 00.00 Raum: Y27H25
Abstract:
We define a refinement of the fundamental group of a 3-manifold M, which we
call the quantum fundamental group (QFG) of M. Using the QFG, we define
the "quantum representation variety" (QRV) Rep(M,H) of M associated to each
co-ribbon Hopf algebra H. If H is a quantized function algebra, which is a
q-deformation of the algebra of regular function on some algebraic group G
(such as SL(N,C)), then Rep(M,H) is a q-deformation of the algebra of regular
functions on the (classical) representation variety Rep(pi_1(M), G).