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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Generalized augmented alternating links and hyperbolic volumes

Colin Adams

Algebraic & Geometric Topology 17 (2017) 3375–3397
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.

Keywords
hyperbolic $3$–manifold, alternating link, augmented alternating link, hyperbolic volume
Mathematical Subject Classification 2010
Primary: 57M50
Secondary: 57M25
References
Publication
Received: 20 October 2015
Revised: 2 March 2017
Accepted: 19 April 2017
Published: 4 October 2017
Authors
Colin Adams
Mathematics and Statistics Department
Williams College
Williamstown, MA
United States
https://sites.williams.edu/cadams/