Author | Jackson, David M. author. Author. http://id.loc.gov/vocabulary/relators/aut |
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Title | An Introduction to Quantum and Vassiliev Knot Invariants [electronic resource] / by David M. Jackson, Iain Moffatt |
Imprint | Cham : Springer International Publishing : Imprint: Springer, 2019 |
Edition | 1st ed. 2019 |
Connect to | https://doi.org/10.1007/978-3-030-05213-3 |
Descript | XX, 422 p. 561 illus. online resource |
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