Jones polynomial and Geometry of Knots Complements -- Abhijit Champanerkar, July
13, 2004

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Discovered 20 years ago, the Jones polynomial caused a revolution in knot 
theory. Although easily computable, it is still not understood in terms of 
the topology of the knot complement. Recent developments show that it appears 
to be closely related to the geometry of the knot complement. We will talk 
about some results and conjectures in this direction.