On a family of hyperbolic Brunnian links and their volumesRepovš, Dušan (Avtor) Vesnin, Andreî Jurʹevič (Avtor) hyperbolic Brunnian linkAdams moveaugmented linkideal right-angled antiprismAn $n$-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 $n\geq 2$, we introduce an infinite family of $n$-component Brunnian links with positive integer parameters $Br(k_1, \ldots, k_n)$ that generalize examples constructed by Debrunner in 1964. We are interested in hyperbolic invariants of $3$-manifolds $S^3 \setminus Br(k_1, \ldots, k_n)$ and we obtain upper bounds for their volumes. Our approach is based on Dehn fillings on cusped manifolds with volumes related to volumes of ideal right-angled hyperbolic antiprisms.20252026-05-12 10:11:42Drugo182449sl