Non-commutative Multivariable Reidemeister Torsion and the Thurston Norm

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dc.creatorFriedl, Stefan
dc.creatorHarvey, Shelly
dc.date2006-08-16
dc.date.accessioned2026-07-07T07:21:50Z
dc.date.available2026-07-07T07:21:50Z
dc.descriptionIn a previous paper, the second author defined integer-valued functions delta_n on the first cohomology of a 3-manifold, generalizing McMullen's Alexander norm. It was shown that these functions give lower bounds on the Thurston norm. In this paper, we reformulate these invariants in terms of Reidemeister torsion over a non-commutative multivariable Laurent polynomial ring. This allows us to show that these functions are semi-norms.
dc.description19 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0608409
dc.identifierhttp://arxiv.org/abs/math/0608409
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/115445
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subjectPrimary 57M27, Secondary 57N10
dc.titleNon-commutative Multivariable Reidemeister Torsion and the Thurston Norm
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