Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
| On Knots. (AM-115), Volume 115 / / Louis H. Kauffman |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (497 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
3-sphere
Addition theorem Addition Alexander polynomial Algebraic variety Algorithm Ambient isotopy Arf invariant Basepoint Bijection Bilinear form Borromean rings Bracket polynomial Braid group Branched covering Chiral knot Chromatic polynomial Cobordism Codimension Combination Combinatorics Complex analysis Concentric Conjecture Connected sum Conway polynomial (finite fields) Counting Covering space Cyclic group Dense set Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Disk (mathematics) Dual graph Elementary algebra Embedding Enumeration Existential quantification Exotic sphere Fibration Formal power series Fundamental group Geometric topology Geometry and topology Geometry Group action Homotopy Integer Intersection form (4-manifold) Isolated singularity Jones polynomial Knot complement Knot group Knot theory Laws of Form Lens space Linking number Manifold Module (mathematics) Morwen Thistlethwaite Normal bundle Notation Obstruction theory Operator algebra Pairing Parity (mathematics) Partition function (mathematics) Planar graph Point at infinity Polynomial ring Polynomial Quantity Rectangle Reidemeister move Remainder Root of unity Saddle point Seifert surface Singularity theory Slice knot Special case Statistical mechanics Substructure Summation Symmetry Theorem Three-dimensional space (mathematics) Topological space Torus knot Trefoil knot Tubular neighborhood Underpinning Unknot Variable (mathematics) Whitehead link Wild knot Writhe |
| ISBN | 1-4008-8213-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. INTRODUCTION -- II. LINKING NUMBERS AND REIDEMEISTER MOVES -- III. THE CONWAY POLYNOMIAL -- IV. EXAMPLE S AND SKEIN THEORY -- V. DETECTING SLICES AND RIBBONS- A FIRST PASS -- VI. MISCELLANY -- VII. SPANNING SURFACES AND THE SEIFERT PAIRING -- VIII. RIBBONS AND SLICES -- IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS -- X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT -- XI. FREE DIFFERENTIAL CALCULUS -- XII. CYCLIC BRANCHED COVERINGS -- XIII. SIGNATURE THEOREMS -- XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS -- XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS -- XVI. AN INVARIANT FOR COVERINGS -- XVII. SLICE KNOTS -- XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE'S KNOT -- XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES -- APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL -- KNOT TABLES AND THE L-POLYNOMIAL -- REFERENCES |
| Record Nr. | UNINA-9910154751303321 |
Kauffman Louis H.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins
| Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds (AM-134), Volume 134 / / Louis H. Kauffman, Sostenes Lins |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (308 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Knot theory
Three-manifolds (Topology) Invariants |
| Soggetto non controllato |
3-manifold
Addition Algorithm Ambient isotopy Axiom Backslash Barycentric subdivision Bijection Bipartite graph Borromean rings Boundary parallel Bracket polynomial Calculation Canonical form Cartesian product Cobordism Coefficient Combination Commutator Complex conjugate Computation Connected component (graph theory) Connected sum Cubic graph Diagram (category theory) Dimension Disjoint sets Disjoint union Elaboration Embedding Equation Equivalence class Explicit formula Explicit formulae (L-function) Factorial Fundamental group Graph (discrete mathematics) Graph embedding Handlebody Homeomorphism Homology (mathematics) Identity element Intersection form (4-manifold) Inverse function Jones polynomial Kirby calculus Knot theory Line segment Linear independence Matching (graph theory) Mathematical physics Mathematical proof Mathematics Maxima and minima Monograph Natural number Network theory Notation Numerical analysis Orientability Orthogonality Pairing Pairwise Parametrization Parity (mathematics) Partition function (mathematics) Permutation Poincaré conjecture Polyhedron Quantum group Quantum invariant Recoupling Recursion Reidemeister move Result Roger Penrose Root of unity Scientific notation Sequence Significant figures Simultaneous equations Smoothing Special case Sphere Spin network Summation Symmetric group Tetrahedron The Geometry Center Theorem Theory Three-dimensional space (mathematics) Time complexity Tubular neighborhood Two-dimensional space Vector field Vector space Vertex (graph theory) Winding number Writhe |
| ISBN | 1-4008-8253-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Chapter 1. Introduction -- Chapter 2. Bracket Polynomial, Temperley-Lieb Algebra -- Chapter 3. Jones-Wenzl Projectors -- Chapter 4. The 3-Vertex -- Chapter 5. Properties of Projectors and 3-Vertices -- Chapter 6. θ-Evaluations -- Chapter 7. Recoupling Theory Via Temperley-Lieb Algebra -- Chapter 8. Chromatic Evaluations and the Tetrahedron -- Chapter 9. A Summary of Recoupling Theory -- Chapter 10. A 3-Manifold Invariant by State Summation -- Chapter 11. The Shadow World -- Chapter 12. The Witten-Reshetikhin- Turaev Invariant -- Chapter 13. Blinks ↦ 3-Gems: Recognizing 3-Manifolds -- Chapter 14. Tables of Quantum Invariants -- Bibliography -- Index |
| Record Nr. | UNINA-9910154743003321 |
|
Kauffman Louis H.
|
||
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||