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Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 1-3, 2015 / Sofia Lambropoulou ... [et al.] editors
| Algebraic Modeling of Topological and Computational Structures and Applications : THALES, Athens, Greece, July 1-3, 2015 / Sofia Lambropoulou ... [et al.] editors |
| Pubbl/distr/stampa | Cham, : Springer, 2017 |
| Descrizione fisica | xv, 482 p. : ill. ; 24 cm |
| Soggetto topico |
68-XX - Computer science [MSC 2020]
57-XX - Manifolds and cell complexes [MSC 2020] 20Cxx - Representation theory of groups [MSC 2020] 03-XX - Mathematical logic and foundations [MSC 2020] 42Axx - Harmonic analysis in one variable [MSC 2020] 13Axx - General commutative ring theory [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 92Bxx - Mathematical biology in general [MSC 2020] 00Bxx - Conference proceedings and collections of articles [MSC 2020] 14Hxx - Curves in algebraic geometry [MSC 2020] 82-XX - Statistical mechanics, structure of matter [MSC 2020] 12Dxx - Real and complex fields [MSC 2020] 20Fxx - Special aspects of infinite or finite groups [MSC 2020] 55Pxx - Homotopy theory [MSC 2020] 55Sxx - Operations and obstructions in algebraic topology [MSC 2020] 16Sxx - Associative rings and algebras arising under various constructions [MSC 2020] 00Axx - General and miscellaneous specific topics [MSC 2020] 37Bxx - Topological dynamics [MSC 2020] 05Exx - Algebraic combinatorics [MSC 2020] |
| Soggetto non controllato |
Algebra and computer science
Algebraic modeling Applications to natural sciences Braids Combinatorics Jones polynomial Knot algebra Knot theory Number theory Polymer entanglements Slow dimensional topology Topology |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124284 |
| Cham, : Springer, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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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.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Properties of Closed 3-Braids and Braid Representations of Links / Alexander Stoimenow
| Properties of Closed 3-Braids and Braid Representations of Links / Alexander Stoimenow |
| Autore | Stoimenow, Alexander |
| Pubbl/distr/stampa | Cham, : Springer, 2017 |
| Descrizione fisica | x, 110 p. : ill. ; 24 cm |
| Soggetto topico |
20C08 - Hecke algebras and their representations [MSC 2020]
20F36 - Braid groups; Artin groups [MSC 2020] 12D10 - Polynomials in real and complex fields: location of zeros (algebraic theorems) [MSC 2020] 32S55 - Milnor fibration; relations with knot theory [MSC 2020] |
| Soggetto non controllato |
Alexander polynomial
Applications of representation theory Burau representation Fibered Dean knots Gauss sum invariants Incompressible surface Jones polynomial Link polynomial Mahler measures Morton-Franks-Williams bound Positive braid Positivity of 3-braid links Recovering the Burau trace Seifert surface Strongly quasi-positive link |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124251 |
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Stoimenow, Alexander
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| Cham, : Springer, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Symmetry in Applied Mathematics
| Symmetry in Applied Mathematics |
| Autore | Bolboacă Sorana D |
| Pubbl/distr/stampa | Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 |
| Descrizione fisica | 1 electronic resource (244 p.) |
| Soggetto topico | History of engineering & technology |
| Soggetto non controllato |
Khovanov homology
braid link Jones polynomial drone deployment drone port traveling salesman facility location problem molecular arrays constrained optimization equivariant bifurcation theory generalized Lane–Emden systems Noether-like operator conservation laws barycentric coordinate system coordinate system hexagonal grid triangular grid tri-hexagonal grid transformations test for outliers order statistics extreme values confidence intervals Monte-Carlo simulation nonlinear equations systems derivative-free methods fast algorithms computational efficiency neutrosophic soft sets inconsistent information prospect theory stochastic multi-criteria group decision making lie symmetries invariants shallow water similarity solutions optimal system equal volume projection hierarchical grid iterative function multiple root composite method derivative-free method optimal convergence full-scale fire experiment compartment fire permutation entropy two length permutation entropy time series analysis parametric Jensen-Shannon statistical complexity symmetric duality alpha-power skew-t distribution skew-t distribution power-t distribution asymmetry Fisher information matrix maximum likelihood estimation iteration fixed points fractals |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910557566703321 |
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Bolboacă Sorana D
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| Basel, Switzerland, : MDPI - Multidisciplinary Digital Publishing Institute, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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