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Introduction to Vassiliev knot invariants

Author: S Chmutov; S V Duzhin; J Mostovoy
Publisher: New York : Cambridge University Press, 2012.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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 introduction to knot theory, giving many examples of knot invariants before the class of Vassiliev invariants is  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: S Chmutov; S V Duzhin; J Mostovoy
ISBN: 9781107020832 1107020832
OCLC Number: 758397428
Description: xvi, 504 p. : ill. ; 26 cm.
Contents: Knots and their relatives --
Knot invariants --
Finite type invariants --
Chord diagrams --
Jacobi diagrams --
Lie algebra weight systems --
Algebra of 3-graphs --
The Kontsevich integral --
Framed knots and cabling operations --
The Drinfeld associator --
The Kontsevich integral: advanced features --
Braids and string links --
Gauss diagrams --
Miscellany --
The space of all knots.
Responsibility: S. Chmutov, S. Duzhin, J. Mostovoy.

Abstract:

A detailed exposition of the theory with an emphasis on its combinatorial aspects.  Read more...
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'It is clear that this book is a labour of love, and that no effort has been spared in making it a useful textbook and reference for those seeking to understand its subject. The target readership Read more...

 
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