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- W783957985 abstract "We consider vector spaces H(n,l) and F(n,l) spanned by the degree n coefficients of suitable power series forms of the Homfly and Kauffman polynomials of links with l components. The intersection of H(n,l) and F(n,l) contains two Vassiliev invariants, one coming from the Jones polynomial and the second one belonging to another skein theoretically defined polynomial. We show that the whole intersection is spanned by these two invariants by determining the dimensions of H(n,l), F(n,l), and H(n,l)+F(n,l). Furthermore, we show that for knots the algebra generated by H(*,1)+F(*,1) 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." @default.
- W783957985 created "2016-06-24" @default.
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- W783957985 date "1998-06-11" @default.
- W783957985 modified "2023-09-27" @default.
- W783957985 title "The common specializations of the Homfly and Kauffman polynomials" @default.
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