Asymptotic Vassiliev invariants for vector fields
نویسندگان
چکیده
منابع مشابه
Asymptotic Vassiliev Invariants for Vector Fields
We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of R. 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.
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Vassiliev invariants up to order six for arbitrary torus knots {n,m}, with n and m coprime integers, are computed. These invariants are polynomials in n and m whose degree coincide with their order. Furthermore, they turn out to be integer-valued in a normalization previously proposed by the authors. ⋆ e-mail: [email protected]
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Three results are shown which demonstrate how Vassiliev invariants behave like polynomials. 0. Introduction. The purpose of this note is to show how the phrase \Vassiliev invariants are like polynomials" can be a useful working paradigm. This has been illustrated in other talks at this conference: Deguchi used Vassiliev invariants because they are computable in polynomial time (see below) and B...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2012
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2637