4 papers · 1 filter
A product-to-sum formula for the quantum group of SL(2,C)
Razvan Gelca
The paper exhibits a product-to-sum formula for the observables of a certain quantization of the moduli space of flat SU(2)-connections on the torus. This quantization was defined…
On the relation between the A-polynomial and the Jones polynomial
Razvan Gelca
In previous joint work with Frohman and Lofaro a noncommutative generalization of the A-polynomial of a knot was introduced, consisting of a finitely generated ideal of polynomials…
The A-polynomial from the noncommutative viewpoint
Charles Frohman, Razvan Gelca, Walter Lofaro
We develop an invariant of knots that depends on a complex parameter t, describing a left ideal in the noncommutative torus. When the parameter is set equal to -1 we recover the A-…
Skein Modules and the Noncommutative Torus
Charles Frohman, Razvan Gelca
We show that the Kauffman bracket skein module of a cylinder over the torus embeds as a subalgebra of the noncommutative torus. Using this we derive nice formulas for the Jones-Wen…