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Skein Modules and the Noncommutative Torus

Charles Frohman·Razvan Gelca
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Abstract

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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Charles Frohman, Razvan Gelca. 1998-06-19. Skein Modules and the Noncommutative Torus. https://arxiv.org/abs/math/9806107

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