Algebraic & Geometric Topology

An alternative approach to hyperbolic structures on link complements

Morwen Thistlethwaite and Anastasiia Tsvietkova

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Abstract

An alternative method is described for determining the hyperbolic structure on a link complement, and some of its elementary consequences are examined. The method is particularly suited to alternating links.

Article information

Source
Algebr. Geom. Topol., Volume 14, Number 3 (2014), 1307-1337.

Dates
Received: 1 August 2011
Revised: 9 September 2013
Accepted: 29 September 2013
First available in Project Euclid: 19 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715905

Digital Object Identifier
doi:10.2140/agt.2014.14.1307

Mathematical Reviews number (MathSciNet)
MR3190595

Zentralblatt MATH identifier
1294.57012

Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M50: Geometric structures on low-dimensional manifolds

Keywords
classical link hyperbolic structure tangle

Citation

Thistlethwaite, Morwen; Tsvietkova, Anastasiia. An alternative approach to hyperbolic structures on link complements. Algebr. Geom. Topol. 14 (2014), no. 3, 1307--1337. doi:10.2140/agt.2014.14.1307. https://projecteuclid.org/euclid.agt/1513715905


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