Cover Image

Cluster algebras and skein algebras for surfaces

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Karuo, Hiroaki, Moon, Han-Bom, Wong, Helen
Format:	Preprint
Published:	2025
Subjects:	Geometric Topology Commutative Algebra Algebraic Geometry 57K31, 13F60, 57K20
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Consequences of the compatibility of skein algebra and cluster algebra on surfaces
by: Moon, Han-Bom, et al.
Published: (2022)

A relationship between the Kauffman bracket skein algebras and Roger-Yang skein algebras of some small surfaces
by: Marple, Chloe, et al.
Published: (2025)

Skein and cluster algebras with coefficients for unpunctured surfaces
by: Ishibashi, Tsukasa, et al.
Published: (2023)

Unbounded $\mathfrak{sl}_3$-laminations and their shear coordinates
by: Ishibashi, Tsukasa, et al.
Published: (2022)

Skein and cluster algebras of unpunctured surfaces for $\mathfrak{sp}_4$
by: Ishibashi, Tsukasa, et al.
Published: (2022)

Skein and cluster algebras of unpunctured surfaces for $\mathfrak{sl}_3$
by: Ishibashi, Tsukasa, et al.
Published: (2021)

On skein algebras of planar surfaces
by: Chen, Haimiao
Published: (2022)

Presentations of Kauffman bracket skein algebras of planar surfaces
by: Chen, Haimiao
Published: (2023)

On the structure of Kauffman bracket skein algebra of a surface
by: Chen, Haimiao
Published: (2024)

Kauffman bracket skein algebra of the 4-holed disk
by: Chen, Haimiao
Published: (2024)

The groups $G_{n}^{k}$ and $2n$-gon tilings
by: Manturov, Vassily Olegovich, et al.
Published: (2024)

Sliced skein algebras and geometric Kauffman bracket
by: Frohman, Charles, et al.
Published: (2023)

Naturality of ${\rm SL}_3$ quantum trace maps for surfaces
by: Kim, Hyun Kyu
Published: (2021)

Power sum elements in the $G_2$ skein algebra
by: Beaumont-Gould, Bodie, et al.
Published: (2023)

On Galois theory of cluster algebras: general and that from Riemann surfaces
by: Dong, Jinlei, et al.
Published: (2024)

Degenerations Of Skein Algebras And Quantum Traces
by: Bloomquist, Wade, et al.
Published: (2023)

Frobenius homomorphisms for stated ${\rm SL}_n$-skein modules
by: Kim, Hyun Kyu, et al.
Published: (2025)

Integral structure of the skein algebra of the 5-punctured sphere
by: Chen, Haimiao
Published: (2023)

On the Kauffman bracket skein module of $(S^1 \times S^2) \ \# \ (S^1 \times S^2)$
by: Bakshi, Rhea Palak, et al.
Published: (2024)

The HOMFLYPT skein module of $S^1 \times S^2$ via braids
by: Diamantis, Ioannis
Published: (2025)

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

On torsion in the Kauffman bracket skein module of $3$-manifolds
by: Belletti, Giulio, et al.
Published: (2024)

On skein invariants
by: Nikonov, Igor
Published: (2024)

Miraculous cancellations and the quantum Frobenius for $SL_3$ skein modules
by: Higgins, Vijay
Published: (2024)

Kauffman bracket skein modules of small 3-manifolds
by: Detcherry, Renaud, et al.
Published: (2023)

Invariants for singular links via the two parameter bt-algebra
by: Flores, Marcelo, et al.
Published: (2024)

A HOMFLYPT-type invariant for pseudo links via a resolution in Hecke algebras
by: Diamantis, Ioannis
Published: (2026)

Quantized Geodesic Lengths for Teichmüller Spaces: Algebraic Aspects
by: Kim, Hyun Kyu
Published: (2024)

Adjoint Reidemeister torsion of 3-manifolds with torus boundary for semisimple algebraic groups
by: Ishibashi, Tsukasa, et al.
Published: (2026)

The skein partition function of the mapping torus
by: Bierent, Julia, et al.
Published: (2025)

The Braid Indices of the Reverse Parallel Links of Alternating Knots
by: Diao, Yuanan, et al.
Published: (2023)

Kauffman bracket skein module of two families of Seifert manifolds
by: Liang, Minyi, et al.
Published: (2024)

Torsion elements in the associated graded of the $Y$-filtration of the monoid of homology cylinders
by: Nozaki, Yuta, et al.
Published: (2024)

Kauffman bracket skein module of the $(3,3,3,3)$-pretzel link exterior
by: Chen, Haimiao
Published: (2025)

Torsion in Kauffman bracket skein module of a $4$-strand Montesinos knot exterior
by: Chen, Haimiao
Published: (2023)

Geometry of fundamental shadow link complements and applications to the 1-loop conjecture
by: Pandey, Tushar, et al.
Published: (2023)

On gluing and splitting series invariants of plumbed 3-manifolds
by: Moore, Allison H., et al.
Published: (2025)

Root lattices and invariant series for plumbed 3-manifolds
by: Moore, Allison H., et al.
Published: (2024)

Fast Algorithm for Multiplication on the Skein Algebra of One-hole Torus
by: Wang, Sike, et al.
Published: (2024)

A survey on the Le-Murakami-Ohtsuki invariant for closed 3-manifolds
by: Enriquez, Benjamin, et al.
Published: (2024)