Introduction to Vassiliev Knot Invariants

By Sergei Chmutov, S. Duzhin, J. Mostovoy. 2011

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1. Knots and their relatives 2. Knot invariants 3. Finite type invariants 4. Chord diagrams 5. Jacobi diagrams 6. Lie algebra weight systems 7. Algebra of 3-graphs 8. The Kontsevich integral 9. Framed knots and cabling operations 10. The Drinfeld associator 11. The Kontsevich integral: advanced features 12. Braids and string links 13. Gauss diagrams 14. Miscellany 15. The space of all knots Appendix References Notations Index.

Subfields: Genetics, Geometry and Topology, Mathematical Physics

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