Some invariants of pretzel links

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dc.creatorKim, Dongseok
dc.creatorLee, Jaeun
dc.date2007-04-11
dc.date.accessioned2026-07-07T08:18:20Z
dc.date.available2026-07-07T08:18:20Z
dc.descriptionWe show that nontrivial classical pretzel knots L(p,q,r) are hyperbolic with eight exceptions which are torus knots. We find Conway polynomials of n-pretzel links using a new computation tree. As applications, we compute the genera of n-pretzel links using these polynomials and find the basket number of pretzel links by showing that the genus and the canonical genus of a pretzel link are the same.
dc.identifierhttps://arxiv.org/abs/0704.1432
dc.identifierhttp://arxiv.org/abs/0704.1432
dc.identifierBull. Austral. Math. Soc. 75 (2007), no. 2, 253--271
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134397
dc.subjectGeometric Topology
dc.subject57M25, 57M27
dc.titleSome invariants of pretzel links
dc.typetext

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