Quantum character varieties
D Jordan - arXiv preprint arXiv:2309.06543, 2023 - arxiv.org
arXiv:2309.06543v1 [math.QA] 12 Sep 2023 Page 1 QUANTUM CHARACTER VARIETIES
DAVID JORDAN Abstract. In this survey article for the Encyclopedia of Mathematical Physics …
DAVID JORDAN Abstract. In this survey article for the Encyclopedia of Mathematical Physics …
Kauffman bracket skein modules of small 3-manifolds
R Detcherry, E Kalfagianni, AS Sikora - arXiv preprint arXiv:2305.16188, 2023 - arxiv.org
The proof of Witten's finiteness conjecture established that the Kauffman bracket skein
modules of closed $3 $-manifolds are finitely generated over $\mathbb Q (A) $. In this paper …
modules of closed $3 $-manifolds are finitely generated over $\mathbb Q (A) $. In this paper …
The Chebyshev–Frobenius homomorphism for stated skein modules of 3-manifolds
W Bloomquist, TTQ Lê - Mathematische Zeitschrift, 2022 - Springer
We study the stated skein modules of marked 3-3-manifolds. We generalize the splitting
homomorphism for stated skein algebras of surfaces to a splitting homomorphism for stated …
homomorphism for stated skein algebras of surfaces to a splitting homomorphism for stated …
Azumaya loci of skein algebras
H Karuo, J Korinman - arXiv preprint arXiv:2211.13700, 2022 - arxiv.org
We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd
roots of unity and provide partial results for open surfaces as well. As applications, we give …
roots of unity and provide partial results for open surfaces as well. As applications, we give …
[图书][B] Encyclopedia of knot theory
" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
Stated skein modules of marked 3-manifolds/surfaces, a survey
TTQ Lê, T Yu - Acta Mathematica Vietnamica, 2021 - Springer
We give a survey of some old and new results about the stated skein modules/algebras of 3-
manifolds/surfaces. For generic quantum parameter, we discuss the splitting homomorphism …
manifolds/surfaces. For generic quantum parameter, we discuss the splitting homomorphism …
Homological mirror symmetry for hypertoric varieties II
In this paper, we prove a homological mirror symmetry equivalence for pairs of multiplicative
hypertoric varieties, and we calculate monodromy autoequivalences of these categories by …
hypertoric varieties, and we calculate monodromy autoequivalences of these categories by …
Poisson orders on large quantum groups
We develop a Poisson geometric framework for studying the representation theory of all
contragredient quantum super groups at roots of unity. This is done in a uniform fashion by …
contragredient quantum super groups at roots of unity. This is done in a uniform fashion by …
Asymptotics of quantum invariants of surface diffeomorphisms I: conjecture and algebraic computations
F Bonahon, H Wong, T Yang - arXiv preprint arXiv:2112.12852, 2021 - arxiv.org
The Kashaev-Murakami-Murakami Volume Conjecture connects the hyperbolic volume of a
knot complement to the asymptotics of certain evaluations of the colored Jones polynomials …
knot complement to the asymptotics of certain evaluations of the colored Jones polynomials …
Classification of semi-weight representations of reduced stated skein algebras
H Karuo, J Korinman - arXiv preprint arXiv:2303.09433, 2023 - arxiv.org
We classify the finite dimensional semi-weight representations of the reduced stated skein
algebras at odd roots of unity of connected marked surfaces which either have a boundary …
algebras at odd roots of unity of connected marked surfaces which either have a boundary …