Kontsevich's integral for the Homfly polynomial is studied by using representations of the chord diagram algebras via classical r-matrices for slN and via a Kauffman type state model. We compute the actual value of the image of W(γ) by these representations, where γ is the normalization factor to construct an invariant from the integral. This formula implies relations between values of multiple zeta functions.
- Homfly polynomial
- Kontsevich's integral
- Zagier's multiple zeta function
ASJC Scopus subject areas
- Geometry and Topology