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<p>In this paper, we consider generalized knot theories and we prove an Alexander-type theorem in this setting. More precisely, we prove that every oriented normal generalized link is the closure of a quasitoric normal generalized braid. In doing so, we compute a generating set for the pure normal generalized braid group. Further, we prove that the set of quasitoric normal generalized braids forms a subgroup of the normal generalized braid group.</p>

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Quasitoric Representation of Generalized Knots

  • 期刊论文

  • 发表日期：

    2026年7月24日

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  • Neha Nanda,
  • Manpreet Singh

摘要

In this paper, we consider generalized knot theories and we prove an Alexander-type theorem in this setting. More precisely, we prove that every oriented normal generalized link is the closure of a quasitoric normal generalized braid. In doing so, we compute a generating set for the pure normal generalized braid group. Further, we prove that the set of quasitoric normal generalized braids forms a subgroup of the normal generalized braid group.