Introduction to Vassiliev Knot Invariants pdf epub mobi txt 电子书下载 2024

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S. Chmutov

Cambridge University Press

2012-7-9

520

USD 84.99

Hardcover

9781107020832

图书标签: topology quantum

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发表于2024-11-13

Introduction to Vassiliev Knot Invariants epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Introduction to Vassiliev Knot Invariants pdf epub mobi txt 电子书下载 2024

图书描述

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.

Introduction to Vassiliev Knot Invariants 下载 mobi epub pdf txt 电子书