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2017 Generalized augmented alternating links and hyperbolic volumes
Colin Adams
Algebr. Geom. Topol. 17(6): 3375-3397 (2017). DOI: 10.2140/agt.2017.17.3375

Abstract

Augmented alternating links are links obtained by adding trivial components that bound twice-punctured disks to nonsplit reduced non-2–braid prime alternating projections. These links are known to be hyperbolic. Here, we extend to show that generalized augmented alternating links, which allow for new trivial components that bound n–punctured disks, are also hyperbolic. As an application we consider generalized belted sums of links and compute their volumes.

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Colin Adams. "Generalized augmented alternating links and hyperbolic volumes." Algebr. Geom. Topol. 17 (6) 3375 - 3397, 2017. https://doi.org/10.2140/agt.2017.17.3375

Information

Received: 20 October 2015; Revised: 2 March 2017; Accepted: 19 April 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1384.57012
MathSciNet: MR3709649
Digital Object Identifier: 10.2140/agt.2017.17.3375

Subjects:
Primary: 57M50
Secondary: 57M25

Keywords: alternating link , augmented alternating link , hyperbolic $3$–manifold , hyperbolic volume

Rights: Copyright © 2017 Mathematical Sciences Publishers

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