On a Family of Hyperbolic Brunnian Links and Their Volumes Full article
| Source | Essays on Topology
Dedicated to Valentin Poénaru Monography, Springer Nature Switzerland AG.. 2025. 729 c. |
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| Output data | Year: 2025, Pages: 495-502 Pages count : 8 | ||||||
| Tags | Hyperbolic Brunnian link · Adams move · Augmented link · Ideal right-angled antiprism | ||||||
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | 075-02-2024-1437 |
Abstract:
An n-component link L is said to be Brunnian if it is non-trivial but every proper sublink of L is trivial. The simplest and best known example of a hyperbolic Brunnian link is the 3-component link known as “Borromean rings”. For n ≥ 2,. we introduce an infinite family of n-component Brunnian links with positive integer parameters Br(k1,...,kn). that generalize examples constructed by Debrunner in 1964. We are interested in hyperbolic invariants of 3-manifolds S3 \Br(k1,...,kn). and we obtain upper bounds for their volumes. Our approach is based on Dehn f illings on cusped manifolds with volumes related to volumes of ideal right-angled hyperbolic antiprisms.
Cite:
Repovs D.
, Vesnin A.
On a Family of Hyperbolic Brunnian Links and Their Volumes
Monography chapter Essays on Topology Dedicated to Valentin Poénaru. – Springer Nature Switzerland AG.., 2025. – C.495-502.
On a Family of Hyperbolic Brunnian Links and Their Volumes
Monography chapter Essays on Topology Dedicated to Valentin Poénaru. – Springer Nature Switzerland AG.., 2025. – C.495-502.
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