The number of independent Vassiliev invariants in the Homfly and Kauffman polynomials

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dc.creatorLieberum, J.
dc.date1998-06-11
dc.date2000-06-23
dc.date.accessioned2026-07-07T05:25:00Z
dc.date.available2026-07-07T05:25:00Z
dc.descriptionWe consider vector spaces H(n,l) and F(n,l) spanned by the degree-n coefficients in power series forms of the Homfly and Kauffman polynomials of links with l components. Generalizing previously known formulas, we determine the dimensions of the spaces H(n,l), F(n,l) and H(n,l)+F(n,l) for all values of n and l. Furthermore, we show that for knots the algebra generated by H(n,1)+F(n,1) (n > 0) is a polynomial algebra with dim(H(n,1)+F(n,1))-1=n+[n/2]-4 generators in degree n>3 and one generator in degrees 2 and 3.
dc.description25 pages, 14 figures
dc.identifierhttps://arxiv.org/abs/math/9806064
dc.identifierhttp://arxiv.org/abs/math/9806064
dc.identifierDocumenta Mathematica, Vol 5(2000), 275-299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77032
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subject57M25
dc.titleThe number of independent Vassiliev invariants in the Homfly and Kauffman polynomials
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