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2019 | OriginalPaper | Buchkapitel

A Survey of Hyperbolic Knot Theory

verfasst von : David Futer, Efstratia Kalfagianni, Jessica S. Purcell

Erschienen in: Knots, Low-Dimensional Topology and Applications

Verlag: Springer International Publishing

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Abstract

We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We focus on determining when a link is hyperbolic, estimating its volume, and bounding its cusp shape and cusp area. We give sample applications and state some open questions and conjectures.

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Nächstes Kapitel Spanning Surfaces for Hyperbolic Knots in the 3-Sphere
Fußnoten
1
WYSIWYG stands for “what you see is what you get”.
 
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Metadaten
Titel
A Survey of Hyperbolic Knot Theory
verfasst von
David Futer
Efstratia Kalfagianni
Jessica S. Purcell
Copyright-Jahr
2019
Buch
Knots, Low-Dimensional Topology and Applications

Print ISBN: 978-3-030-16030-2

Electronic ISBN: 978-3-030-16031-9

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-16031-9_1