Skein Modules and the Noncommutative Torus

Details Skein Modules and the Noncommutative Torus Skein Modules and the Noncommutative Torus

1998-06-19

arxiv.org/abs/math/9806107v1

Mathematics

Quantum Algebra

13 pages, 5 figures, Latex

Scientific paper

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.

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