A Survey of Hyperbolic Knot Theory

Autor:	David Futer, Jessica S. Purcell, Efstratia Kalfagianni
Rok vydání:	2019
Předmět:	Cusp (singularity) 010308 nuclear & particles physics 010102 general mathematics Hyperbolic link 01 natural sciences Knot theory Algebra Diagrammatic reasoning Bounding overwatch 0103 physical sciences 0101 mathematics Link (knot theory) Focus (optics) Complement (set theory) Mathematics
Zdroj:	Knots, Low-Dimensional Topology and Applications ISBN: 9783030160302
DOI:	10.1007/978-3-030-16031-9_1
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::30a9b9b5e17006ade72598c4a2dc3955 https://doi.org/10.1007/978-3-030-16031-9_1 Zobrazit plný text záznamu