The Culler-Shalen seminorms of the (-3,3,4) pretzel knot

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dc.creatorMattman, Thomas W.
dc.date2001-02-06
dc.date.accessioned2026-07-07T04:40:01Z
dc.date.available2026-07-07T04:40:01Z
dc.descriptionWe describe a method to compute the Culler-Shalen seminorms of a knot, using the (-3,3,4) pretzel knot as an illustrative example. We deduce that the SL2(C)-character variety of this knot consists of three algebraic curves and that it admits no non-trivial cyclic or finite surgeries. We also summarize similar results for other (-3,3,n) pretzel knots including the observation that the Seifert surgeries for these knots are precisely those integral slopes lying between two of the boundary slopes.
dc.description7 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0102049
dc.identifierhttp://arxiv.org/abs/math/0102049
dc.identifierProc. of Knot Theory - dedicated to Prof. Murasugi (Univ. of Toronto '99) (2000) 212-218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60902
dc.subjectGeometric Topology
dc.subject57M25, 57R65
dc.titleThe Culler-Shalen seminorms of the (-3,3,4) pretzel knot
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