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math.QA1998
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-…
math.QA1998
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…