Fibred knots and twisted Alexander invariants

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dc.creatorCha, Jae Choon
dc.date2001-09-19
dc.date2002-06-26
dc.date.accessioned2026-07-07T04:43:27Z
dc.date.available2026-07-07T04:43:27Z
dc.descriptionWe introduce a new algebraic topological technique to detect non-fibred knots in the three sphere using the twisted Alexander invariants. As an application, we show that for any Seifert matrix of a knot with a nontrivial Alexander polynomial, there exist infinitely many non-fibered knots with the given Seifert matrix. We illustrate examples of knots that have trivial Alexander polynomials but do not have twisted Alexander invariants of fibred knots.
dc.description14 pages, 5 figures; minor modification, reference addition, and address change
dc.identifierhttps://arxiv.org/abs/math/0109136
dc.identifierhttp://arxiv.org/abs/math/0109136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62230
dc.subjectGeometric Topology
dc.subject57M25
dc.titleFibred knots and twisted Alexander invariants
dc.typetext

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