Quasitoric representation of generalized braids

Neha Nanda; Manpreet Singh

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arXiv · 2411.18783

Quasitoric representation of generalized braids

Neha Nanda·Manpreet Singh

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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.

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Neha Nanda, Manpreet Singh. 2024-11-27. Quasitoric representation of generalized braids. https://arxiv.org/abs/2411.18783

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