String Theory Seminars
Knots, homologies and A-polynomials
by Prof. P. Ramadevi (IIT Bombay)
Tuesday, April 21, 2015
from
to
(Asia/Kolkata)
at A304
at A304
Description |
I will discuss the direct evaluation of knot invariants using the connection between Chern-Simons theory and Wess-Zumino conformal field theory. From these pool of invariants, I will present how we attempted to write closed form expression for $SU(N)$ quantum racah coefficients involving a symmetric and their conjugate representations. I will briefly introduce Khovanov's approach of obtaining homological invariants. Finally, I will give some idea on recent activities in this mathematical physics area: (i) obtaining superpolynomials, A-polynomials (ii) understanding these polynomials from the BPS states in string theory, refined Chern-Simons theory and 3-dimensional gravity partition functions. |