Stated skein algebras of surfaces

F Costantino, TTQ Lê - Journal of the European Mathematical Society, 2022 - ems.press
Stated skein algebras of surfaces Page 1 © 2022 European Mathematical Society Published by
EMS Press and licensed under a CC BY 4.0 license J. Eur. Math. Soc. 24, 4063–4142 (2022) …

On Kauffman bracket skein modules at roots of unity

T Lê - Algebraic & Geometric Topology, 2015 - msp.org
On Kauffman bracket skein modules at roots of unity Page 1 msp Algebraic & Geometric
Topology 15 (2015) 1093–1117 On Kauffman bracket skein modules at roots of unity THANG …

On the AJ conjecture for knots

TTQ Le, AT Tran - Indiana University Mathematics Journal, 2015 - JSTOR
We confirm the AJ conjecture [Ga2] that relates the A-polynomial and the colored Jones
polynomial for hyperbolic knots satisfying certain conditions. In particular, we show that the …

The Kauffman bracket skein module of two-bridge links

T Le, A Tran - Proceedings of the American Mathematical Society, 2014 - ams.org
We calculate the Kauffman bracket skein module (KBSM) of the complement of all two-
bridge links. For a two-bridge link, we show that the KBSM of its complement is free over the …

Nine generators of the skein space of the 3–torus

A Carrega - Algebraic & geometric topology, 2017 - msp.org
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 …

On the skein module of the product of a surface and a circle

P Gilmer, G Masbaum - Proceedings of the American Mathematical Society, 2019 - ams.org
On the skein module of the product of a surface and a circle Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 9, September 2019, Pages …

Infinite families of hyperbolic 3‐manifolds with finite‐dimensional skein modules

R Detcherry - Journal of the London Mathematical Society, 2021 - Wiley Online Library
The Kauffman bracket skein module K (M) of a 3‐manifold M is the quotient of the Q (A)‐
vector space spanned by isotopy classes of links in M by the Kauffman relations. A …

On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere

RP Bakshi, S Mukherjee, JH Przytycki… - Journal of Knot …, 2021 - World Scientific
Based on the presentation of the Kauffman bracket skein algebra of the thickened torus
given by the third author in previous work [4], Frohman and Gelca established a complete …

[PDF][PDF] The universal character ring of the (-2, 2m+ 1, 2n)-pretzel link

AT Tran - arXiv preprint arXiv:1209.0002, 2012 - arxiv.org
arXiv:1209.0002v3 [math.GT] 4 Jul 2013 Page 1 arXiv:1209.0002v3 [math.GT] 4 Jul 2013 THE
UNIVERSAL CHARACTER RING OF THE (−2, 2m + 1, 2n)-PRETZEL LINK ANH T. TRAN …

[PDF][PDF] The colored Jones polynomial and the AJ conjecture

TTQ Lê - Lecture notes from “Etats de la Recherche: Geometric …, 2014 - researchgate.net
5.8. Generator of the recurrence ideal 34 5.9. Effect of Weyl symmetry 35 5.10. Degree 1
recurrence relation 35 5.11. Linear factor L− 1 36 6. Kauffman bracket skein modules 37 6.1 …