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Skein module dimensions of mapping tori of the 2-torus
Patrick Kinnear
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We determine the dimension of the Kauffman bracket skein module at generic q for mapping tori of the 2-torus, generalising the well-known computation of Carrega and Gilmer. In the process, we give a decomposition of the twisted Hochschild homology of the G-skein algebra for G = SL_N or GL_N, which is a direct summand of the whole skein module, and from which the dimensions follow easily in the cases G = SL₂ and G = GL₁.
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