The Jones polynomial and quantum invariants

Series
Geometry Topology Working Seminar
Time
Friday, April 24, 2009 - 3:00pm for 2 hours
Location
Skiles 269
Speaker
Thang Le – School of Mathematics, Georgia Tech
Organizer
John Etnyre

Please Note: These are two hour lectures.

We will develop general theory of quantum invariants based on sl_2 (the simplest Lie algebra): The Jones polynomials, the colored Jones polynomials, quantum sl_2 groups, operator invariants of tangles, and relations with the Alexander polynomial and the A-polynomials. Optional: Finite type invariants and the Kontsevich integral.