Quasitoric representation of generalized braids
Geometric Topology
2024-12-02 v1 Group Theory
Abstract
In this paper, we define generalized braid theories in alignment with the language of Fenn and Bartholomew for knot theories, and compute a generating set for the pure generalized braid theories. Using this, we prove that every oriented normal generalized knot is the closure of a quasitoric normal generalized braid. Further, we prove that the set of quasitoric normal generalized braids forms a subgroup of normal generalized braid group.
Keywords
Cite
@article{arxiv.2411.18783,
title = {Quasitoric representation of generalized braids},
author = {Neha Nanda and Manpreet Singh},
journal= {arXiv preprint arXiv:2411.18783},
year = {2024}
}
Comments
16 pages, 20 figures