Growth of quantum -symbols and applications to the volume conjecture
G Belletti, R Detcherry, E Kalfagianni… - Journal of differential …, 2022 - projecteuclid.org
We prove the Turaev–Viro invariants volume conjecture for a “universal” class of cusped
hyperbolic $3 $-manifolds that produces all $3 $-manifolds with empty or toroidal boundary …
hyperbolic $3 $-manifolds that produces all $3 $-manifolds with empty or toroidal boundary …
A basis for the Kauffman skein module of the product of a surface and a circle
R Detcherry, M Wolff - Algebraic & Geometric Topology, 2021 - msp.org
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 …
spanned by links in M modulo the so-called Kauffman relations. For any closed oriented …
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 …
AMERICAN MATHEMATICAL SOCIETY Volume 147, Number 9, September 2019, Pages …
Quantum representations and monodromies of fibered links
R Detcherry, E Kalfagianni - Advances in Mathematics, 2019 - Elsevier
Abstract Andersen, Masbaum and Ueno conjectured that certain quantum representations of
surface mapping class groups should send pseudo-Anosov mapping classes to elements of …
surface mapping class groups should send pseudo-Anosov mapping classes to elements of …
Fundamental shadow links realized as links in S3
S Kumar - Algebraic & Geometric Topology, 2021 - msp.org
We use purely topological tools to construct several infinite families of hyperbolic links in the
3–sphere that satisfy the Turaev–Viro invariant volume conjecture posed by Chen and Yang …
3–sphere that satisfy the Turaev–Viro invariant volume conjecture posed by Chen and Yang …
Cosets of monodromies and quantum representations
R Detcherry, E Kalfagianni - arXiv preprint arXiv:2001.04518, 2020 - arxiv.org
We use geometric methods to show that given any $3 $-manifold $ M $, and $ g $ a
sufficiently large integer, the mapping class group $\mathrm {Mod}(\Sigma_ {g, 1}) …
sufficiently large integer, the mapping class group $\mathrm {Mod}(\Sigma_ {g, 1}) …
Gromov norm and Turaev-Viro invariants of 3-manifolds
R Detcherry, E Kalfagianni - arXiv preprint arXiv:1705.09964, 2017 - arxiv.org
We establish a relation between the" large r" asymptotics of the Turaev-Viro invariants $
TV_r $ and the Gromov norm of 3-manifolds. We show that for any orientable, compact 3 …
TV_r $ and the Gromov norm of 3-manifolds. We show that for any orientable, compact 3 …
A representation theoretic characterization of simple closed curves on a surface
T Koberda, R Santharoubane - arXiv preprint arXiv:1603.03456, 2016 - arxiv.org
We produce a sequence of finite dimensional representations of the fundamental group
$\pi_1 (S) $ of a closed surface where all simple closed curves act with finite order, but …
$\pi_1 (S) $ of a closed surface where all simple closed curves act with finite order, but …
Recent progresses on the volume conjectures for Reshetikhin-Turaev and Turaev-Viro invariants
T Yang - Acta Mathematica Vietnamica, 2021 - Springer
Recent Progresses on the Volume Conjectures for Reshetikhin-Turaev and Turaev-Viro
Invariants | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …
Invariants | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …
Topological quantum field theory and polynomial identities for graphs on the torus
P Fendley, V Krushkal - Annales de l'Institut Henri Poincaré D, 2022 - ems.press
Topological quantum field theory and polynomial identities for graphs on the torus Page 1
Ann. Inst. H. Poincaré D Comb. Phys. Interact. 10 (2023), 277–298 DOI 10.4171/AIHPD/130 …
Ann. Inst. H. Poincaré D Comb. Phys. Interact. 10 (2023), 277–298 DOI 10.4171/AIHPD/130 …