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Graphs on surfaces : dualities, polynomials, and knots / / Joanna A. Ellis-Monaghan, Iain Moffatt
| Graphs on surfaces : dualities, polynomials, and knots / / Joanna A. Ellis-Monaghan, Iain Moffatt |
| Autore | Ellis-Monaghan Joanna A |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | New York, : Springer, 2013 |
| Descrizione fisica | 1 online resource (xi, 139 pages) : illustrations (some color) |
| Disciplina |
511.5
511/.5 |
| Altri autori (Persone) | MoffattIain |
| Collana | SpringerBriefs in mathematics |
| Soggetto topico |
Graph theory
Surfaces Duality theory (Mathematics) Polynomials Knot theory |
| ISBN | 1-4614-6971-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Embedded Graphs -- 2. Generalised Dualities -- 3. Twisted duality, cycle family graphs, and embedded graph equivalence -- 4. Interactions with Graph Polynomials -- 5. Applications to Knot Theory .- References -- Index . |
| Record Nr. | UNINA-9910437864903321 |
Ellis-Monaghan Joanna A
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| New York, : Springer, 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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An Introduction to Quantum and Vassiliev Knot Invariants / / by David M. Jackson, Iain Moffatt
| An Introduction to Quantum and Vassiliev Knot Invariants / / by David M. Jackson, Iain Moffatt |
| Autore | Jackson David M |
| Edizione | [1st ed. 2019.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 |
| Descrizione fisica | 1 online resource (425 pages) |
| Disciplina |
514.224
530.143 |
| Collana | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |
| Soggetto topico |
Manifolds (Mathematics)
Complex manifolds Nonassociative rings Rings (Algebra) Manifolds and Cell Complexes (incl. Diff.Topology) Non-associative Rings and Algebras |
| ISBN | 3-030-05213-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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. |
| Record Nr. | UNINA-9910338251803321 |
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Jackson David M
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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