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Volumes of Montesinos
links
Kathleen Finlinson and Jessica S. Purcell |
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Vol. 282 (2016), No. 1, 63–105
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Abstract |
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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
Montesinos link, volume, hyperbolic geometry, essential
product disk
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Mathematical Subject Classification 2010
Primary: 57M25, 57M27, 57M50
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Milestones
Received: 9 March 2015
Revised: 23 September 2015
Accepted: 28 September 2015
Published: 24 February 2016
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Authors |
| Kathleen Finlinson | |
| Department of Applied
Mathematics University of Colorado Boulder 526 UCB Boulder, CO 80309-0526 United States |
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| Jessica S. Purcell | |
| Department of Mathematics Brigham Young University 292 TMCB Provo, UT 84602-6539 United States |
School of Mathematical
Sciences Monash University 9 Rainforest Walk, Room 401 Monash University, VIC 3800 Australia |
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