On Invariants of Morse Knots

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dc.creatorMostovoy, Jacob
dc.creatorStanford, Theodore
dc.date2000-08-13
dc.date.accessioned2026-07-07T04:36:46Z
dc.date.available2026-07-07T04:36:46Z
dc.descriptionWe define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In particular, there is an invariant of order 3 for Morse knots with one maximum that distinguishes two different representations of the figure eight knot. We also present the results of computer calculations for some invariants of low order. It turns out that for Morse knots with two maxima there is a Z/2-valued invariant of order 6 which is not a reduction of any integer-valued invariant.
dc.description12 pages, lots of figures
dc.identifierhttps://arxiv.org/abs/math/0008096
dc.identifierhttp://arxiv.org/abs/math/0008096
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59722
dc.subjectGeometric Topology
dc.subject57M25; 57M27
dc.titleOn Invariants of Morse Knots
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