On a Family of Hyperbolic Brunnian Links and Their Volumes Научная публикация
| Сборник | Essays on Topology
Dedicated to Valentin Poénaru Монография, Springer Nature Switzerland AG.. 2025. 729 c. |
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| Вых. Данные | Год: 2025, Страницы: 495-502 Страниц : 8 | ||||||
| Ключевые слова | Hyperbolic Brunnian link · Adams move · Augmented link · Ideal right-angled antiprism | ||||||
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Информация о финансировании (1)
| 1 | Министерство науки и высшего образования РФ | 075-02-2024-1437 |
Реферат:
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.
Библиографическая ссылка:
Repovs D.
, Vesnin A.
On a Family of Hyperbolic Brunnian Links and Their Volumes
Глава монографии 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
Глава монографии Essays on Topology Dedicated to Valentin Poénaru. – Springer Nature Switzerland AG.., 2025. – C.495-502.
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