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math.GT2023
The Jones polynomial for a torus knot with twists
Brandon Bavier, Brandy Doleshal
We compute the Jones polynomial for a three-parameter family of links, the twisted torus links of the form where and are coprime and is nonzero. When $…
math.GT2021
Addendum to: Guts, Volume and Skein Modules of 3-Manifolds
Brandon Bavier
In Guts, Volume and Skein Modules of 3-Manifolds (arXiv:2010.06559), we showed that the twist number of certain hyperbolic weakly generalized alternating links can be recovered fro…
math.GT2020
Guts, volume and Skein Modules of 3-manifolds
Brandon Bavier, Efstratia Kalfagianni
We consider hyperbolic links that admit alternating projections on surfaces in compact, irreducible 3-manifolds. We show that, under some mild hypotheses, the volume of the complem…