3 papers
math.GT2025
Knot quandles distinguish Suciu's ribbon knots
Jumpei Yasuda
The knot quandle is an invariant of -knots. In this note, we study the knot quandles of Suciu's ribbon -knots, an infinite family of knots with isomorphic knot groups. We pro…
math.GT2025
On the classification of 2-plat 2-knots
Jumpei Yasuda
An -plat 1-knot is one isotopic to the plat closure of some -braid, which is also called an -bridge 1-knot. Schubert classified 2-bridge 1-knots by considering their doub…
math.GT2024
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 , which is a generalization of a braided surface. A knitted surface i…