Jumpei Yasuda

activity

20242026

collaborators

4 papers

math.GT2026

On the classification of 2-plat 2-knots

Jumpei Yasuda

An $n$ -plat 1-knot is one isotopic to the plat closure of some $2 n$ -braid, which is also called an $n$ -bridge 1-knot. Schubert classified 2-bridge 1-knots by considering their doub…

math.GT2025

Closure of knitted surfaces and surface-links

Inasa Nakamura, Jumpei Yasuda

A knitted surface is a surface with or without closed components smoothly properly embedded in $D^{2} \times B^{2}$ , which is a generalization of a braided surface. A knitted surface i…

math.GT2025

Knot quandles distinguish Suciu's ribbon knots

Jumpei Yasuda

The knot quandle is an invariant of $n$ -knots. In this note, we study the knot quandles of Suciu's ribbon $n$ -knots, an infinite family of knots with isomorphic knot groups. We pro…

math.GT2024

Surfaces in the 4-ball constructed using generators of knits and their graphical description

Inasa Nakamura, Jumpei Yasuda

We introduce a new construction of surfaces in $D^{2} \times B^{2}$ , called knitted surfaces or BMW surfaces, which are described as the trace of deformations of knits. Here, knits are…