The Jones polynomial and quantum invariants

Series: 
Geometry Topology Working Seminar
Friday, April 17, 2009 - 15:00
2 hours
Location: 
Skiles 269
,  
School of Mathematics, Georgia Tech
Organizer: 

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.