A basis for the Kauffman skein module of the product of a surface and a circle - Archive ouverte HAL
Article Dans Une Revue Algebraic and Geometric Topology Année : 2021

A basis for the Kauffman skein module of the product of a surface and a circle

Résumé

The Kauffman bracket skein module S(M) of a 3-manifold M is a Q(A)-vector space spanned by links in M modulo the so-called Kauffman relations. For any closed oriented surface Sigma we provide an explicit spanning family for the skein modules S(Sigma x S-1). Combined with earlier work of Gilmer and Masbaum (Proc. Amer. Math. Soc. 147 (2019) 4091-4106), we answer their question about the dimension of S(Sigma x S-1) being 2(2g+1) + 2g-1.
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Dates et versions

hal-03485334 , version 1 (10-11-2024)

Identifiants

Citer

Renaud Detcherry, Maxime Wolff. A basis for the Kauffman skein module of the product of a surface and a circle. Algebraic and Geometric Topology, 2021, 21 (6), pp.2959-2993. ⟨10.2140/agt.2021.21.2959⟩. ⟨hal-03485334⟩
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