Work

On biquandles for the groups Gnk and surface singular braid monoid

Year: 2025

Type: article

Abstract: The groups [Formula: see text] were defined by Manturov [V. O. Manturov and I. M. Nikonov, On braids and groups [Formula: see text], J. Knot Theory Ramif. 24(13) (2015) 1541009.] in order to describe dynamical systems in configuration systems. In the paper we consider two applications of this theory: we define a biquandle structure on the groups [Formula: see text], and construct a homomorphism from the surface singular braid monoid to the group [Formula: see text].

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216525500804

Authors: Sang Youl Lee, Vassily Olegovich Manturov, Igor Mikhailovich Nikonov

Institutions: Pusan National University, Moscow Institute of Physics and Technology, Kazan Federal University, Northeastern University, Lomonosov Moscow State University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Russian Foundation for Basic Research, National Research Foundation of Korea

Awards: G2266612244, G4426056778