English

Geometry of Generalized Augmented Braids

Geometric Topology 2024-06-17 v1

Abstract

A generalized augmented link of a knot KK is a link obtained by adding trivial components to KK that bound nn-punctured disks. In this paper we consider that KK is given by a positive braid with at least one full twist. We characterize when the generalized augmented links of KK have hyperbolic geometry.

Keywords

Cite

@article{arxiv.2406.09736,
  title  = {Geometry of Generalized Augmented Braids},
  author = {Thiago de Paiva},
  journal= {arXiv preprint arXiv:2406.09736},
  year   = {2024}
}

Comments

14 pages, 1 figure

R2 v1 2026-06-28T17:05:33.449Z