### Abstract

Kontsevich's integral for the Homfly polynomial is studied by using representations of the chord diagram algebras via classical r-matrices for sl_{N} 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.

Original language | English |
---|---|

Pages (from-to) | 193-206 |

Number of pages | 14 |

Journal | Topology and its Applications |

Volume | 62 |

Issue number | 2 |

DOIs | |

Publication status | Published - 1995 Mar 24 |

### Fingerprint

### Keywords

- Homfly polynomial
- Kontsevich's integral
- Zagier's multiple zeta function

### ASJC Scopus subject areas

- Geometry and Topology