Asymptotic Vassiliev Invariants for Vector Fields

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dc.creatorBaader, Sebastian
dc.creatorMarche, Julien
dc.date2008-10-21
dc.date.accessioned2026-07-07T10:12:11Z
dc.date.available2026-07-07T10:12:11Z
dc.descriptionWe analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of $\R^3$. More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field. As an application, we determine the asymptotic Alexander and Jones polynomials and give a formula for the asymptotic Kontsevich integral.
dc.description12 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0810.3870
dc.identifierhttp://arxiv.org/abs/0810.3870
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172101
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57M27; 37A05
dc.titleAsymptotic Vassiliev Invariants for Vector Fields
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