Cover Image

On the asymptotic expansions of various quantum invariants I: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2π\sqrt{-1}}{N+\frac{1}{2}}}$

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Qingtao, Zhu, Shengmao
Format:	Preprint
Published:	2023
Subjects:	Geometric Topology Mathematical Physics Quantum Algebra
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2π\sqrt{-1}}{N+\frac{1}{2}}}$
by: Chen, Qingtao, et al.
Published: (2024)

On the asymptotic expansion of various quantum invariants III: the Reshetikhin-Turaev invariants of closed hyperbolic 3-manifolds obtained by doing integral surgery along the twist knot
by: Chen, Qingtao, et al.
Published: (2024)

Chern-Simons factorization algebras and knot polynomials
by: Costello, Kevin, et al.
Published: (2026)

On geometric bases for quantum A-polynomials of knots
by: Galakhov, Dmitry, et al.
Published: (2024)

The asymptotic behaviors of the colored Jones polynomials of the figure eight-knot, and an affine representation
by: Murakami, Hitoshi
Published: (2023)

Full twists and stability of knots and quivers
by: Chauhan, Sachin, et al.
Published: (2025)

The colored Jones polynomial of the figure-eight knot and a quantum modularity
by: Murakami, Hitoshi
Published: (2022)

Algebraic structures of Vassiliev invariants for knot families
by: Lanina, E., et al.
Published: (2025)

Steinberg skein identities at roots of unity
by: Higgins, Vijay, et al.
Published: (2025)

Doubly-graded exponential growth of colored torus knot homology
by: Conners, Luke
Published: (2025)

Categorical 4-manifold invariants from trisection diagrams
by: Meusburger, Catherine, et al.
Published: (2025)

Askey-Wilson polynomial and genus-two skein module
by: Hikami, Kazuhiro
Published: (2025)

Involutory Hopf group-coalgebras and invariants of flat bundles over 4-manifolds
by: Bridges, Nicolas, et al.
Published: (2025)

On the Hecke algebras and the colored HOMFLY polynomial
by: Lin, Xiao-Song, et al.
Published: (2006)

A lower bound for the genus of a knot using the Links-Gould invariant
by: Kohli, Ben-Michael, et al.
Published: (2023)

Turaev-Viro invariant from the modular double of $\mathrm {U}_{q}\mathfrak{sl}(2;\mathbb R)$
by: Liu, Tianyue, et al.
Published: (2025)

Center of stated $\mathrm{SL}(n)$-skein algebras: even roots of unity
by: Karuo, Hiroaki, et al.
Published: (2025)

A minimality property for knots without Khovanov 2-torsion
by: Gujral, Onkar Singh, et al.
Published: (2023)

Equivalence of Extended $U(1)$ Chern-Simons and Reshetikhin-Turaev TQFTs
by: Galviz, Daniel
Published: (2026)

Graded spherical skein 2+1-G-HQFT and modified Turaev-Viro invariants
by: Costantino, Francesco, et al.
Published: (2026)

The colored Jones polynomial and Kontsevich-Zagier series for double twist knots
by: Lovejoy, Jeremy, et al.
Published: (2017)

Jones-Wenzl projectors and odd Khovanov homology
by: Spyropoulos, Dean
Published: (2024)

A supergroup series for knot complements
by: Chae, John
Published: (2025)

Khovanov homology of strongly invertible knots and their quotients
by: Lipshitz, Robert, et al.
Published: (2022)

Floer homology and non-fibered knot detection
by: Baldwin, John A., et al.
Published: (2022)

An instanton take on some knot detection results
by: Baldwin, John A., et al.
Published: (2022)

State sum invariants of knots from idempotents in quandle rings
by: Elhamdadi, Mohamed, et al.
Published: (2024)

The HZ character expansion and a hyperbolic extension of torus knots
by: Petrou, Andreani, et al.
Published: (2025)

Torus knots in adjoint representation and Vogel's universality
by: Bishler, Liudmila, et al.
Published: (2025)

Topological Field Theories and the Algebraic Structures of the Two-Sphere
by: Li, Chris
Published: (2026)

Generalized Double Affine Hecke Algebra for Double Torus
by: Hikami, Kazuhiro
Published: (2024)

Combed Trisection Diagrams and Non-Semisimple 4-Manifold Invariants
by: Chaidez, Julian, et al.
Published: (2023)

Feynman Graph Integrals on $\mathbb{C}^d$
by: Wang, Minghao
Published: (2024)

Equivalence of toral Chern-Simons and Reshetikhin-Turaev theories
by: Galviz, Daniel
Published: (2026)

Perturbative Expansion of Yang-Baxter Operators
by: Zappala, Emanuele
Published: (2024)

A Cable Knot and BPS-Series II
by: Chae, John
Published: (2023)

The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere
by: Pandey, Tushar
Published: (2023)

Alterfold Theory and Topological Modular Invariance
by: Liu, Zhengwei, et al.
Published: (2024)

On Hecke lifting conjecture for framed knots
by: Zhu, Shengmao
Published: (2025)

Coloured invariants of torus knots, $\mathcal{W}$ algebras, and relative asymptotic weight multiplicities
by: Kanade, Shashank
Published: (2024)