Reidemeister torsion, the Thurston norm and Harvey's invariants

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dc.creatorFriedl, Stefan
dc.date2005-08-31
dc.date2006-02-25
dc.date.accessioned2026-07-07T06:42:53Z
dc.date.available2026-07-07T06:42:53Z
dc.descriptionRecently twisted and higher order Alexander polynomials were used by Cochran, Harvey, Friedl--Kim and Turaev to give lower bounds on the Thurston norm. We first show how Reidemeister torsion relates to these Alexander polynomials. We then give lower bounds on the Thurston norm in terms of the Reidemeister torsion which contain and extend all the above lower bounds and give an elegant reformulation of the bounds of Cochran, Harvey and Turaev. The Reidemeister torsion approach also gives a natural approach to proving and extending certain monotonicity results of Cochran and Harvey.
dc.descriptionFinal version, to be published by the Pacific Journal of Mathematics
dc.identifierhttps://arxiv.org/abs/math/0508648
dc.identifierhttp://arxiv.org/abs/math/0508648
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102208
dc.subjectGeometric Topology
dc.subject57M27
dc.titleReidemeister torsion, the Thurston norm and Harvey's invariants
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