Work

On the volume density spectrum of fully augmented links

Year: 2025

Type: article

Abstract: For a hyperbolic fully augmented link in [Formula: see text], its FAL volume density is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densities is dense in [Formula: see text], but discrete in [Formula: see text].

Source: Journal of Knot Theory and Its Ramifications

DOI: 10.1142/s0218216525500117

Authors: Alice Kwon, Ying Hong Tham

Institutions: SUNY Maritime College, Universität Hamburg

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G432818845, EXC 2121: Quantum Universe