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Kontsevich’s integral for the Kauffman polynomial

Published online by Cambridge University Press:  22 January 2016

Thang Tu Quoc Le  and
Jun Murakami
Thang Tu Quoc Le*
Affiliation:
Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, D-53225, Bonn 3, Germany
Jun Murakami
Affiliation:
Department of Mathematics, Osaka University, Toyonaka, Osaka 560, Japan, E-mail adress: jun@math.sci.osaka-u.ac.jp
*
Department of Mathematics, 106 Diefendorf SUNY at Buffalo, Buffalo NY 14214, USA, e-mail adress: letu@math.buffalo.edu
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Kontsevich’s integral is a knot invariant which contains in itself all knot invariants of finite type, or Vassiliev’s invariants. The value of this integral lies in an algebra A0 , spanned by chord diagrams, subject to relations corresponding to the flatness of the Knizhnik-Zamolodchikov equation, or the so called infinitesimal pure braid relations [11].

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 142 , June 1996 , pp. 39 - 65
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

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