Asymptotic Vassiliev Invariants for Vector Fields

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We 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.
12 pages, 3 figures

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Geometric Topology, Dynamical Systems, 57M27; 37A05

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http://salesiana.dossiersoluciones.com/handle/123456789/172101

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.3870
 http://arxiv.org/abs/0810.3870

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arXiv