Téléchargez le livre : An Introduction to Quantum and Vassiliev Knot Invariants

An Introduction to Quantum and Vassiliev Knot Invariants



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Éditeur :

Springer


Collection :

CMS Books in Mathematics

Paru le : 2019-05-04



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Description

This book provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed via representations of quantum groups, and how these two apparently distinct theories come together through the Kontsevich invariant. Consisting of four parts, the book opens with an introduction to the fundamentals of knot theory, and to knot invariants such as the Jones polynomial. The second part introduces quantum invariants of knots, working constructively from first principles towards the construction of Reshetikhin-Turaev invariants and a description of how these arise through Drinfeld and Jimbo's quantum groups. Its third part offers an introduction to Vassiliev invariants, providing a careful account of how chord diagrams and Jacobi diagrams arise in the theory, and the role that Lie algebras play. The final part of the book introduces the Konstevich invariant. This is a universal quantum invariant and a universal Vassiliev invariant, and brings together these two seemingly different families of knot invariants. The book provides a detailed account of the construction of the Jones polynomial via the quantum groups attached to sl(2), the Vassiliev weight system arising from sl(2), and how these invariants come together through the Kontsevich invariant.
Pages
422 pages
Collection
CMS Books in Mathematics
Parution
2019-05-04
Marque
Springer
EAN papier
9783030052126
EAN PDF
9783030052133
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
45169 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
126,59 €
EAN EPUB
9783030052133
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
42
Taille du fichier
27597 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
126,59 €

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