Cover Image

On the Alexander polynomials of modular knots

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kang, Soon-Yi, Matsusaka, Toshiki, Park, Kyungbae
Format:	Preprint
Published:	2025
Subjects:	Geometric Topology Number Theory 57K10, 11A55
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Alexander polynomial of twisted torus knots
by: Adnan, et al.
Published: (2024)

Cappell-Shaneson knot pairs with the same Alexander polynomial
by: Endo, Hisaaki, et al.
Published: (2026)

Infinite families of non-fibered twisted torus knots
by: Adnan, et al.
Published: (2026)

Note on an explicit formula of Rademacher symbols for triangle groups
by: Matsusaka, Toshiki, et al.
Published: (2024)

Cobordism of algebraic knots defined by Brieskorn polynomials, II
by: Blanloeil, Vincent, et al.
Published: (2024)

Alexander polynomials of ribbon knots and virtual knots
by: Bai, Sheng
Published: (2021)

Arborescent links and modular tails
by: Osburn, Robert, et al.
Published: (2025)

A framework for proving quantum modularity: Application to Witten's asymptotic expansion conjecture
by: Murakami, Yuya
Published: (2025)

Smoothly slice knots with Alexander polynomial 1 and high unknotting number
by: Lewark, Lukas
Published: (2025)

On the n-loop Kontsevich invariant of knots having the same Alexander polynomial
by: Yamaguchi, Kouki
Published: (2024)

Twisted Alexander polynomials of knots associated to the regular representations of finite groups
by: Morifuji, Takayuki, et al.
Published: (2023)

Finiteness of specializations of the $q$-deformed modular group at roots of unity
by: Byakuno, Takuma, et al.
Published: (2026)

Transposes in the $q$-deformed modular group and their applications to $q$-deformed rational numbers
by: Ren, Xin, et al.
Published: (2025)

Kink-equivalence of matrices, spanning surfaces, 4-manifolds, and quadratic forms
by: Howards, Hugh, et al.
Published: (2024)

Seifert surfaces in the four-ball and composition of binary quadratic forms
by: Aka, Menny, et al.
Published: (2023)

Spectra in Khovanov and knot Floer theories
by: Marengon, Marco, et al.
Published: (2024)

Computing Alexander polynomials for arborescent links
by: Chen, Haimiao
Published: (2026)

Embedding calculus and grope cobordism of knots
by: Kosanović, Danica
Published: (2020)

Smooth concordance of cables of the figure-eight knot
by: Kang, Sungkyung, et al.
Published: (2025)

Using Fibonacci Numbers and Chebyshev Polynomials to Express Fox Coloring Groups and Alexander-Burau-Fox Modules of Diagrams of Wheel Graphs
by: Christiana, Anthony, et al.
Published: (2023)

Cables of the figure-eight knot via real Frøyshov invariants
by: Kang, Sungkyung, et al.
Published: (2024)

The second coefficient of the Alexander polynomial as a satellite obstruction
by: Lewark, Lukas
Published: (2024)

Twisted Alexander vanishing groups of knots
by: Ishikawa, Katsumi, et al.
Published: (2026)

Twisted Alexander vanishing order of knots
by: Ishikawa, Katsumi, et al.
Published: (2023)

A note on rational surgeries on a Hopf link
by: Bojković, Velibor, et al.
Published: (2024)

Signs of knot polynomial evaluations from a topological perspective
by: Jost, Luana, et al.
Published: (2026)

Alexander polynomial, Dijkgraaf-Witten invariant, and Seifert fibred surgery
by: Chen, Haimiao
Published: (2017)

On the behavior of the colored Jones polynomial of the figure-eight knot under modular transformations
by: Aistleitner, Christoph, et al.
Published: (2025)

Twisted Alexander vanishing order of knots II
by: Ishikawa, Katsumi, et al.
Published: (2025)

Twisted Alexander polynomials of a knot for group extensions
by: Ishikawa, Katsumi, et al.
Published: (2026)

Multiplicity of non-acyclic ${\rm SL}_2$-representations and L-functions of the odd-twisted Whitehead links
by: Bénard, Léo, et al.
Published: (2023)

On the number of components of twisted torus links
by: Adnan, et al.
Published: (2025)

On knots that divide ribbon knotted surfaces
by: Boden, Hans U., et al.
Published: (2022)

$L$-function invariants for 3-manifolds and relations between generalized Bernoulli polynomials
by: Murakami, Yuya
Published: (2024)

On the neighborhood of knots
by: Panagiotou, Eleni
Published: (2024)

Liftings of knots in $S_{g} \times S^{1}$ and covering of virtual knots
by: Kim, Seongjeong
Published: (2023)

Hyperbolic knots with arbitrarily large torsion order in knot Floer homology
by: Himeno, Keisuke, et al.
Published: (2024)

Quantum equations for knots
by: Fiedler, Thomas, et al.
Published: (2025)

Pairs of knot invariants
by: Taniyama, Kouki
Published: (2024)

Linking numbers of modular knots
by: Simon, Christopher-Lloyd
Published: (2022)