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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].

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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