Introduction to Vassiliev Knot Invariants

$55.00

China Internet Development Report 2018: Blue Book of World Internet Conference 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 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. Additional ISBNs 1107020832, 1139415816, 9781107020832, 9781139415811Introduction to Vassiliev Knot Invariants 1st Edition is written by S. Chmutov; S. Duzhin; J. Mostovoy and published by Cambridge University Press. ISBNs for Introduction to Vassiliev Knot Invariants are 9781139415811, 1139415816 and the print ISBNs are 9781107020832, 1107020832. Additional ISBNs include 1107020832, 1139415816, 9781107020832, 9781139415811.

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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. Additional ISBNs 1107020832, 1139415816, 9781107020832, 9781139415811Introduction to Vassiliev Knot Invariants 1st Edition is written by S. Chmutov; S. Duzhin; J. Mostovoy and published by Cambridge University Press. ISBNs for Introduction to Vassiliev Knot Invariants are 9781139415811, 1139415816 and the print ISBNs are 9781107020832, 1107020832. Additional ISBNs include 1107020832, 1139415816, 9781107020832, 9781139415811.