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Knot theory [[electronic resource] /] / Charles Livingston
| Knot theory [[electronic resource] /] / Charles Livingston |
| Autore | Livingston Charles |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c1993 |
| Descrizione fisica | 1 online resource (258 p.) |
| Disciplina | 514/.224 |
| Collana | The Carus mathematical monographs |
| Soggetto topico | Knot theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-61444-023-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Front Cover""; ""Knot Theory""; ""Copyright Page""; ""Contents""; ""Acknowledgements""; ""Preface""; ""Chapter 1. A Century of Knot Theory""; ""Chapter 2. What Is a Knot?""; ""Section 1: Wild Knots and Unknottings""; ""Section 2: The Definition of a Knot""; ""Section 3: Equivalence of Knots, Deformations""; ""Section 4: Diagrams and Projections""; ""Section 5: Orientations""; ""Chapter 3. Combinatorial Techniques""; ""Section 1: Reidemeister Moves""; ""Section 2: Colorings""; ""Section 3: A Generalization of Colorability, mod p Labelings""
""Section 4: Matrices, Labelings, and Determinants""""Section 5: The Alexander Polynomial""; ""Chapter 4. Geometric Techniques""; ""Section 1: Surfaces and Homeomorphisms""; ""Section 2: The Classification of Surfaces""; ""Section 3: Seifert Surfaces and the Genus of a Knot""; ""Section 4: Surgery on Surfaces""; ""Section 5: Connected Sums of Knots and Prime Decompositions""; ""Chapter 5. Algebraic Techniques""; ""Section 1: Symmetric Groups""; ""Section 2: Knots and Groups""; ""Section 3: Conjugation and the Labeling Theorem""; ""Section 4: Equations in Groups and the Group of a Knot"" ""Section 5: The Fundamental Group""""Chapter 6. Geometry, Algebra, and the Alexander Polynomial""; ""Section 1: The Seifert Matrix""; ""Section 2: Seifert Matrices and the Alexander Polynomial""; ""Section 3: The Signature of a Knot, and other S-Equivalence Invariants""; ""Section 4: Knot Groups and the Alexander Polynomial""; ""Chapter 7. Numerical Invariants""; ""Section 1: Summary of Numerical Invariants""; ""Section 2: New Invariants""; ""Section 3: Braids and Bridges""; ""Section 4: Relations Between the Numerical Invariants""; ""Section 5: Independence of Numerical Invariants"" ""Chapter 8. Symmetries of Knots""""Section 1: Amphicheiral and Reversible Knots""; ""Section 2: Periodic Knots""; ""Section 3: The Murasugi Conditions""; ""Section 4: Periodic Seifert Surfaces and Edmonds' Theorem""; ""Section 5: Applications of the Murasugi and Edmonds Conditions""; ""Chapter 9. High-Dimensional Knot Theory""; ""Section 1: Defining High-dimensional Knots""; ""Section 2: Three Dimensions from a 2-dimensional Perspective""; ""Section 3: Three-dimensional Cross-sections of a 4-dimensional Knot""; ""Section 4: Slice Knots""; ""Section 5: The Knot Concordance Group"" ""Chapter 10. New Combinatorial Techniques""""Section 1: The Conway Polynomial of a Knot""; ""Section 2: New Polynomial Invariants""; ""Section 3: Kauffman's Bracket Polynomial""; ""Appendix 1. Knot Table""; ""Appendix 2. Alexander Polynomials""; ""References""; ""Index"" |
| Record Nr. | UNINA-9910463460303321 |
Livingston Charles
|
||
| Washington, D.C., : Mathematical Association of America, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knot theory / / Charles Livingston [[electronic resource]]
| Knot theory / / Charles Livingston [[electronic resource]] |
| Autore | Livingston Charles |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1993 |
| Descrizione fisica | 1 online resource (xviii, 240 pages) : digital, PDF file(s) |
| Disciplina | 514/.224 |
| Collana | The Carus mathematical monographs |
| Soggetto topico | Knot theory |
| ISBN | 1-61444-023-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A century of knot theory -- What is a knot? -- Combinatorial techniques -- Geometric techniques -- Algebraic techniques -- Geometry, algebra, and the Alexander polynomial -- Numerical invariants -- Symmetries of knots -- High-dimensional knot theory -- New combinatorial techniques -- Appendix 1. Knot table -- Appendix 2. Alexander polynomials. |
| Record Nr. | UNINA-9910786845503321 |
|
Livingston Charles
|
||
| Washington : , : Mathematical Association of America, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Knot theory / / Charles Livingston [[electronic resource]]
| Knot theory / / Charles Livingston [[electronic resource]] |
| Autore | Livingston Charles |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 1993 |
| Descrizione fisica | 1 online resource (xviii, 240 pages) : digital, PDF file(s) |
| Disciplina | 514/.224 |
| Collana | The Carus mathematical monographs |
| Soggetto topico | Knot theory |
| ISBN | 1-61444-023-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | A century of knot theory -- What is a knot? -- Combinatorial techniques -- Geometric techniques -- Algebraic techniques -- Geometry, algebra, and the Alexander polynomial -- Numerical invariants -- Symmetries of knots -- High-dimensional knot theory -- New combinatorial techniques -- Appendix 1. Knot table -- Appendix 2. Alexander polynomials. |
| Record Nr. | UNINA-9910821350503321 |
|
Livingston Charles
|
||
| Washington : , : Mathematical Association of America, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||