20.500.12556/RUL-182449 On a family of hyperbolic Brunnian links and their volumes 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 $n\geq 2$, 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. hyperbolic Brunnian link Adams move augmented link ideal right-angled antiprism true false true Angleški jezik Angleški jezik Drugo 2026-05-12 10:11:42 2026-05-12 10:11:46 2026-05-13 04:51:35 0000-00-00 00:00:00 2025 0 0 Str. 495-503 0000-00-00 PostprintKoncna NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2026-07-23 515.1 244039171 244025347 COBISS-ID_244039171.pdf COBISS-ID_244039171.pdf 1 D44FA176EAFE691D071C8B144ACDECB8 9e02e15c5104baf1a386a07ff0751cf6067bc05afab635bdba975ccb008bc842 c4580ddf-4dda-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233719 https://link.springer.com/chapter/10.1007/978-3-031-81414-3_21 1 ed2fecea-4dd9-11f1-b0ab-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=233718 Pedagoška fakulteta Fakulteta za matematiko in fiziko 0 0 0