Kontsevich integral for knots and Vassiliev invariants

Authors
Publication date 2013
Journal International Journal of Modern Physics A
Volume | Issue number 28 | 17
Pages (from-to) 1330025
Number of pages 38
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We review quantum field theory approach to the knot theory. Using holomorphic gauge, we obtain the Kontsevich integral. It is explained how to calculate Vassiliev invariants and coefficients in Kontsevich integral in a combinatorial way which can be programmed on a computer. We discuss experimental results and temporal gauge considerations which lead to representation of Vassiliev invariants in terms of arrow diagrams. Explicit examples and computational results are presented.



Document type Article
Language English
Published at https://doi.org/10.1142/S0217751X13300251
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