This item is not eligible for coupon offers.

An Introduction to Quantum and Vassiliev Knot Invariants

An Introduction to Quantum and Vassiliev Knot Invariants

by David M. Jackson, Iain Moffatt

$117.04 $119.99 Save 2% Current price is $117.04, Original price is $119.99. You Save 2%.
Available for Pre-Order. This item will be available on March 3, 2019

Product Details

ISBN-13: 9783030052126
Publisher: Springer International Publishing
Publication date: 03/03/2019
Series: CMS Books in Mathematics
Edition description: 1st ed. 2019
Pages: 422
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

Part I Basic Knot Theory.- Knots.- Knot and Link Invariants.- Framed Links.- Braids and the Braid Group.- Part II Quantum Knot Invariants.- R-Matrix Representations of Bn.- Knot Invariants through R-Matrix Representations of Bn.- Operator Invariants.- Ribbon Hopf Algebras.- Reshetikin-Turaev Invariants.- Part III Vassiliev Invarients.- The Fundamentals of Vassiliev Invariants.- Chord Diagrams.- Vassiliev Invariants of Framed Knots.- Jacobi Diagrams.- Lie Algebra Weight Systems.- Part IV The Kontsevich Invariant.- q-tangles.- Jacobi Diagrams on a 1-manifold.- A Construction of the Kontsevich Invariant.- Universality Properties of the Kontsevich Invariant.- Appendix A Background on Modules and Linear Algebra.- Appendix B Rewriting the Definition of Operator Invariants.- Appendix C Computations in Quasi-triangular Hopf Algebras.- Appendix D The Ribbon Hopf Algebra.- Appendix E A Proof of the Invariance of the Reshetikin-Turaev Invariants.