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2017 Nine generators of the skein space of the $3$–torus
Alessio Carrega
Algebr. Geom. Topol. 17(6): 3449-3460 (2017). DOI: 10.2140/agt.2017.17.3449

Abstract

We show that the skein vector space of the 3–torus is finitely generated. We show that it is generated by nine elements: the empty set, some simple closed curves representing the nonzero elements of the first homology group with coefficients in 2, and a link consisting of two parallel copies of one of the previous nonempty knots.

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Alessio Carrega. "Nine generators of the skein space of the $3$–torus." Algebr. Geom. Topol. 17 (6) 3449 - 3460, 2017. https://doi.org/10.2140/agt.2017.17.3449

Information

Received: 28 April 2016; Revised: 8 April 2017; Accepted: 28 April 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1376.57013
MathSciNet: MR3709652
Digital Object Identifier: 10.2140/agt.2017.17.3449

Subjects:
Primary: 57Mxx

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 6 • 2017
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