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OverviewWith 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 introduced. This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated integrals and via the Drinfeld associator, and extend the theory to framed knots. Various other topics are then discussed, such as Gauss diagram formulae, before the book ends with Vassiliev's original construction. Full Product DetailsAuthor: S Chmutov (Ohio State University) , S Duzhin (Steklov Institute of Mathematics, St Petersburg) , J Mostovoy (Instituto Polit??cnico Nacional, Mexico Instituto Politecnico Nacional, Mexico Instituto Polit??cnico Nacional, Mexico)Publisher: Not Avail Imprint: Not Avail ISBN: 9786613662132ISBN 10: 6613662135 Publication Date: 31 May 2012 Audience: General/trade , General Format: Electronic book text Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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