Geodesic
Generalized augmented alternating links and hyperbolic volumes
Adams, Colin1
1 Mathematics and Statistics Department, Williams College, Williamstown, MA, United States
Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3375-3397

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/agt.2017.17.3375
Classification : 57M50, 57M25
Keywords: hyperbolic $3$–manifold, alternating link, augmented alternating link, hyperbolic volume

Adams, Colin 1

1 Mathematics and Statistics Department, Williams College, Williamstown, MA, United States 
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Adams, Colin. Generalized augmented alternating links and hyperbolic volumes. Algebraic and Geometric Topology, Tome 17 (2017) no. 6, pp. 3375-3397. doi: 10.2140/agt.2017.17.3375

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