Skein Modules and the Noncommutative Torus
Abstract
Description
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-Wenzl idempotents and analyze the structure of the Kauffman bracket skein module of the unknot as a module over the Kauffman bracket skein module of a cylinder over the torus.
13 pages, 5 figures, Latex
13 pages, 5 figures, Latex