Hyperbolic volume

id: hyperbolic-volume-161-17443872
title: Hyperbolic volume
text: In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric. The volume is necessarily a finite real number, and is a topological invariant of the link. As a link invariant, it was first studied by William Thurston in connection with his geometrization conjecture.
brand slug: wiki
category slug: encyclopedia
description: Normalized hyperbolic volume of the complement of a hyperbolic knot
original url: https://en.wikipedia.org/wiki/Hyperbolic_volume
date created: 2006-11-28T07:04:31Z
date modified: 2024-08-27T13:18:31Z
main entity: {"identifier":"Q5957811","url":"https://www.wikidata.org/entity/Q5957811"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/05/Blue_Figure-Eight_Knot.png","width":1584,"height":1800}
fields total: 13
integrity: 16

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