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arxiv: 1603.09661 · v1 · pith:PSI2RHWJnew · submitted 2016-03-31 · 🧮 math.GT

9 generators of the skein space of the 3-torus

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keywords elementsemptygeneratedskeinspacetorusclosedcoefficients
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We show that the skein vector space of the 3-torus is finitely generated. We show that it is generated by 9 elements: the empty set, some simple closed curves representing the non null elements of the first homology group with coefficients in \Z_2, and a link consisting of two parallel copies of one of the previous non empty knots.

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