The HOMFLY polynomial, the trilogarithm and zeta(3)

Series: 
Geometry Topology Seminar
Monday, September 22, 2008 - 14:30
2 hours
Location: 
Room 322, Boyd Graduate Studies UGA
,  
School of Mathematics, Georgia Tech
Organizer: 
I will discuss a relation between the HOMFLY polynomial of a knot, its extension for a closed 3-manifold, a special function, the trilogarithm, and zeta(3).  Technically, this means that we consider perturbative U(N) Chern-Simons theory around the trivial flat connection, for all N, in an ambient 3-manifold. This is rigorous, and joint with Marcos Marino and Thang Le.