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2018 Hyperbolic tangle surgeries and nested links
John Harnois, Hayley Olson, Rolland Trapp
Algebr. Geom. Topol. 18(3): 1573-1602 (2018). DOI: 10.2140/agt.2018.18.1573

Abstract

Changes to gluing patterns for fully augmented links are shown to result in generalized fully augmented links. The first changes considered result in 4 –tangle surgeries on hyperbolic fully augmented links that produce hyperbolic generalized fully augmented links. These surgeries motivate the definition of nested links, and a characterization of hyperbolic nested links is given. Finally, the geometry of nested links is compared to that of fully augmented links.

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John Harnois. Hayley Olson. Rolland Trapp. "Hyperbolic tangle surgeries and nested links." Algebr. Geom. Topol. 18 (3) 1573 - 1602, 2018. https://doi.org/10.2140/agt.2018.18.1573

Information

Received: 3 February 2017; Revised: 6 September 2017; Accepted: 12 September 2017; Published: 2018
First available in Project Euclid: 26 April 2018

zbMATH: 06866407
MathSciNet: MR3784013
Digital Object Identifier: 10.2140/agt.2018.18.1573

Subjects:
Primary: 57M25
Secondary: 57M50

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 3 • 2018
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