Introduction to Vassiliev Knot Invariants

Introduction to Vassiliev Knot Invariants

Chmutov, 2012

Overview

This detailed exposition introduces students with little or no prior knowledge to the theory of Vassiliev knot invariants. It begins with a basic introduction to knot theory and knot invariants before delving into Vassiliev invariants. The book covers the algebras of Jacobi diagrams and 3-graphs, functions on these algebras via Lie algebras, and constructions of a universal invariant using iterated integrals and the Drinfeld associator. The theory is extended to framed knots, and topics like Gauss diagram formulae are discussed, concluding with Vassiliev's original construction.

Who it's for

• Students beginning their study of knot theory.
• Researchers seeking an introduction to Vassiliev invariants.
• Individuals interested in advanced topics in knot theory.

Key features

• Hardback binding
• 520 pages
• Published in 2012
• ISBN: 9781107020832
• Publisher: Cambridge Academ