Wataru Yuasa

activity

20152025

most citedSkein and cluster algebras of unpunctured surfaces for

sl_{3}

9 citations · 26 across the 13 of their papers we have counts for

collaborators

13 papers

math.AG2025

Bounded $sp_{4}$ -laminations and their intersection coordinates

Tsukasa Ishibashi, Zhe Sun, Wataru Yuasa

We introduce rational bounded $sp_{4}$ -laminations on a marked surface $Σ$ as a proposed topological model for the rational tropical points $\mathcal{A}_{Sp_4,\…

math.GT2023

Skein and cluster algebras with coefficients for unpunctured surfaces

Tsukasa Ishibashi, Shunsuke Kano, Wataru Yuasa

We propose a skein model for the quantum cluster algebras of surface type with coefficients. We introduce a skein algebra $S_{Σ, W}^{A}$ of a walled surface $(Σ,\…

math.GT2022★ 1 cited

Skein and cluster algebras of unpunctured surfaces for $sp_{4}$

Tsukasa Ishibashi, Wataru Yuasa

Continuing to our previous work [IY21](arXiv:2101.00643) on the $sl_{3}$ -case, we introduce a skein algebra $S_{sp_{4}, Σ}^{q}$ consisting of $\mathfrak{…

math.GT2021★ 9 cited

Skein and cluster algebras of unpunctured surfaces for $sl_{3}$

Tsukasa Ishibashi, Wataru Yuasa

For an unpunctured marked surface $Σ$ , we consider a skein algebra $S_{sl_{3}, Σ}^{q}$ consisting of $sl_{3}$ -webs on $Σ$ with the boundary skein relat…

math.GT2020

The zero stability for the one-row colored $sl_{3}$ Jones polynomial

Wataru Yuasa

The stability of coefficients of colored ( $sl_{2}$ -) Jones polynomials ${J_{K, n}^{sl_{2}} (q)}_{n}$ was discovered by Dasbach and Lin. This stability is now called…

math.GT2020★ 1 cited

Twist formulas for one-row colored $A_{2}$ webs and $sl_{3}$ tails of $(2, 2 m)$ -torus links

Wataru Yuasa

The $sl_{3}$ colored Jones polynomial $J_{λ}^{sl_{3}} (L)$ is obtained by coloring the link components with two-row Young diagram $λ$ . Although it is difficult to co…

math.RT2019

A graphical categorification of the two-variable Chebyshev polynomials of the second kind

Wataru Yuasa

We show that the $A_{2}$ clasps in the Karoubi envelope of $A_{2}$ spider satisfy the recursive formula of the two-variable Chebyshev polynomials of the second kind associated with a r…

math.GT2018

On power subgroups of Dehn twists in hyperelliptic mapping class groups

Wataru Yuasa

This paper contains two topics, the index of a power subgroup in the mapping class group $M (0, 2 n)$ of a $2 n$ -punctured sphere and in the hyperelliptic mapping class group…

math.GT2017

$A_{2}$ Skein Representations of Pure Braid Groups

Wataru Yuasa

We define a family of representations ${ρ_{n}}_{n \geq 0}$ of a pure braid group $P_{2 k}$ . These representations are obtained from an action of $P_{2 k}$ on a certain type of $A_{2}$ w…

math.GT2017

$A_{2}$ colored polynomials of rigid vertex graphs

Wataru Yuasa

The Kauffman-Vogel polynomials are three variable polynomial invariants of $4$ -valent rigid vertex graphs. A one-variable specialization of the Kauffman-Vogel polynomials for unori…

math.GT2016★ 9 cited

A $q$ -series identity via the $sl_{3}$ colored Jones polynomials for the $(2, 2 m)$ -torus link

Wataru Yuasa

The colored Jones polynomial is a $q$ -polynomial invariant of links colored by irreducible representations of a simple Lie algebra. A $q$ -series called a tail is obtained as the li…

math.GT2016★ 4 cited

The $sl_{3}$ colored Jones polynomials for $2$ -bridge links

Wataru Yuasa

Kuperberg introduced web spaces for some Lie algebras which are generalizations of the Kauffman bracket skein module on a disk with marked points. We derive some formulas for $A_{1}$ …

math.GT2015★ 2 cited

Poisson algebras of curves on bordered surfaces and skein quantization

Wataru Yuasa

We define a (co-)Poisson (co)algebra of curves on a bordered surface. A bordered surface is a surface whose boundary have marked points. Curves on the bordered surface are oriented…

Bounded sp4​-laminations and their intersection coordinates

Skein and cluster algebras with coefficients for unpunctured surfaces

Skein and cluster algebras of unpunctured surfaces for sp4​

Skein and cluster algebras of unpunctured surfaces for sl3​

The zero stability for the one-row colored sl3​ Jones polynomial

Twist formulas for one-row colored A2​ webs and sl3​ tails of (2,2m)-torus links

A graphical categorification of the two-variable Chebyshev polynomials of the second kind

On power subgroups of Dehn twists in hyperelliptic mapping class groups

A2​ Skein Representations of Pure Braid Groups

A2​ colored polynomials of rigid vertex graphs

A q-series identity via the sl3​ colored Jones polynomials for the (2,2m)-torus link

The sl3​ colored Jones polynomials for 2-bridge links

Poisson algebras of curves on bordered surfaces and skein quantization

Bounded $sp_{4}$ -laminations and their intersection coordinates

Skein and cluster algebras of unpunctured surfaces for $sp_{4}$

Skein and cluster algebras of unpunctured surfaces for $sl_{3}$

The zero stability for the one-row colored $sl_{3}$ Jones polynomial

Twist formulas for one-row colored $A_{2}$ webs and $sl_{3}$ tails of $(2, 2 m)$ -torus links

$A_{2}$ Skein Representations of Pure Braid Groups

$A_{2}$ colored polynomials of rigid vertex graphs

A $q$ -series identity via the $sl_{3}$ colored Jones polynomials for the $(2, 2 m)$ -torus link

The $sl_{3}$ colored Jones polynomials for $2$ -bridge links