Quasitoric representation of generalized braids

Autor: Nanda, Neha, Singh, Manpreet
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 16 pages, 20 figures
Databáze: arXiv