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Kontsevich integral for knots and Vassiliev invariants by Dunin-Barkowski, Petr; Sleptsov, Alexey; Smirnov, Andrey is a scholarly article available to read on EtoBox.

What is Kontsevich integral for knots and Vassiliev invariants about?

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.

Author

Dunin-Barkowski, Petr; Sleptsov, Alexey; Smirnov, Andrey

Published

2011

Language

EN