Wataru Yuasa

activity

20152020

most citedPoisson algebras of curves on bordered surfaces and skein quantization

2 citations · 2 across the 4 of their papers we have counts for

collaborators

5 papers

math.GT2020

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.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…

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

Poisson algebras of curves on bordered surfaces and skein quantization

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