Introduction to Vassiliev knot invariants

With hundreds of worked examples, exercises and illustrations, this detailed exposition of the theory of Vassiliev knot invariants opens the field to students with little or no knowledge in this area. It also serves as a guide to more advanced material. The book begins with a basic and informal intr...

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Bibliographic Details
Main Authors: Chmutov, S., Duzhin, S. V. (Author), Mostovoy, J. (Author)
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2012
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
Table of Contents:
  • Machine generated contents note: 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