Geometry of Generalized Augmented Braids

2024/06/14 by Thiago de Paiva, de Paiva, Thiago
Engineering · #3D Shape Modeling and Analysis #57K10 #57K32 #FOS: Mathematics #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.2406.09736

openalex publication_date 2024/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• On multiply twisted knots that are Seifert fibered or toroidal
• Hyperbolic geometry of multiply twisted knots
• Hyperbolic Knots given by Positive Braids with at Least two Full Twists
• Hyperbolic and satellite Lorenz links obtained by twisting
• Fully Augmented Links in the Thickened Torus