Volumes of Montesinos links

Kathleen Finlinson; Jessica S Purcell

doi:10.2140/pjm.2016.282.63

Volumes of Montesinos links

Kathleen Finlinson, Jessica S Purcell

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

We show that the volume of any Montesinos link can be bounded above and below in terms of the combinatorics of its diagram. This was known for Montesinos links with at most two tangles and those with at least five tangles. We complete the result for the remaining cases.

Original language	English
Pages (from-to)	63-105
Number of pages	43
Journal	Pacific Journal of Mathematics
Volume	282
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2016.282.63
Publication status	Published - 2016

Keywords

Essential product disk
Hyperbolic geometry
Montesinos link
Volume

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10.2140/pjm.2016.282.63

Cite this

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title = "Volumes of Montesinos links",

abstract = "We show that the volume of any Montesinos link can be bounded above and below in terms of the combinatorics of its diagram. This was known for Montesinos links with at most two tangles and those with at least five tangles. We complete the result for the remaining cases. ",

keywords = "Essential product disk, Hyperbolic geometry, Montesinos link, Volume",

author = "Kathleen Finlinson and Purcell, {Jessica S}",

year = "2016",

doi = "10.2140/pjm.2016.282.63",

language = "English",

volume = "282",

pages = "63--105",

journal = "Pacific Journal of Mathematics",

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publisher = "Mathematical Sciences Publishers",

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AU - Finlinson, Kathleen

AU - Purcell, Jessica S

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AB - We show that the volume of any Montesinos link can be bounded above and below in terms of the combinatorics of its diagram. This was known for Montesinos links with at most two tangles and those with at least five tangles. We complete the result for the remaining cases.

KW - Essential product disk

KW - Hyperbolic geometry

KW - Montesinos link

KW - Volume

UR - http://msp.org.ezproxy.lib.monash.edu.au/pjm/2016/282-1/pjm-v282-n1-p05-s.pdf

U2 - 10.2140/pjm.2016.282.63

DO - 10.2140/pjm.2016.282.63

M3 - Article

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VL - 282

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EP - 105

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JF - Pacific Journal of Mathematics

IS - 1

ER -

Volumes of Montesinos links

Abstract

Keywords

Access to Document

Other files and links

Quantum invariants and hyperbolic manifolds in three-dimensional topology

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Volumes of Montesinos links

Abstract

Keywords

Access to Document

Other files and links

Projects

Quantum invariants and hyperbolic manifolds in three-dimensional topology

Cite this