Introduction to the AJ Conjecture

Series: 
Geometry Topology Working Seminar
Friday, February 19, 2010 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 269
,  
Georgia Tech

This is part 1 of a two part talk.  The second part will continue next week. 

I will introduce the AJ conjecture (by Garoufalidis) which relates the A-polynomial and the colored Jones polynomial of a knot in the 3-sphere. Then I will verify it for the trefoil and the figure 8 knots (due to Garoufalidis) and torus knots (due to Hikami) by explicit calculations.