Curve operators and Toeplitz operators in TQFT.

Geometry Topology Seminar
Friday, November 19, 2010 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 171
Julien Marche – Paris VII & Ecole Polytechnique
Thang Le
Topological quantum field theory associates to a surface a sequence of vector spaces and to curves on the surface, sequence of operators on that spaces. It is expected that these operators are Toeplitz although there is no general proof. I will state it in some particular cases and give applications to the asymptotics of quantum invariants like quantum 6-j symbols or quantum invariants of Dehn fillings of the figure eight knot. This is work in progress with (independently) L. Charles and T. Paul.