#### Volume 17, issue 6 (2017)

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Generalized augmented alternating links and hyperbolic volumes

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
Primary: 57M50
Secondary: 57M25