"On the unification of quantum invariants of 3-manifolds" by Qi Chen

Geometry Topology Seminar
Friday, February 26, 2010 - 14:00
1 hour (actually 50 minutes)
Skiles 269
Winston-Salem State University
For every quantum group one can define two invariants of 3-manifolds:the WRT invariant and the Hennings invariant. We will show that theseinvariants are equivalentfor quantum sl_2 when restricted to the rational homology 3-spheres.This relation can be used to solve the integrality problem of the WRT invariant.We will also show that the Hennings invariant produces integral TQFTsin a more natural way than the WRT invariant.