Application of braid groups in 2D Hall system physics : composite fermion structure / Janusz Jacak ... [et al.]
| Application of braid groups in 2D Hall system physics : composite fermion structure / Janusz Jacak ... [et al.] |
| Pubbl/distr/stampa | Singapore ; Hackensack, NJ : World Scientific, c2012 |
| Descrizione fisica | xi, 147 p. : ill. ; 24 cm |
| Disciplina | 533.2 |
| Altri autori (Persone) | Jacak, Januszauthor |
| Soggetto topico |
Braid theory
Fermions Quantum Hall effect Electrodynamics Quantum theory Topology |
| ISBN | 9789814412025 |
| Classificazione |
LC QC793.5.F42
53.3.11 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002102999707536 |
| Singapore ; Hackensack, NJ : World Scientific, c2012 | ||
| Lo trovi qui: Univ. del Salento | ||
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Braid group, knot theory and statistical mechanics / C.N. Yang, M.L. Ge (eds.)
| Braid group, knot theory and statistical mechanics / C.N. Yang, M.L. Ge (eds.) |
| Autore | Ge, M.L. |
| Pubbl/distr/stampa | Singapore : World Scientific, c1989 |
| Descrizione fisica | vii, 329 p. : ill. ; 23 cm. |
| Altri autori (Persone) | Yang, Chen Ying |
| Collana | Advanced series in mathematical physics ; 9 |
| Soggetto topico | Braid theory |
| ISBN | 9971508281 |
| Classificazione |
53(082.2)
53.1.62 53.3.11 510.13 510.18 510.20 514.224 QA612.2.B73 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | en |
| Record Nr. | UNISALENTO-991000838709707536 |
Ge, M.L.
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| Singapore : World Scientific, c1989 | ||
| Lo trovi qui: Univ. del Salento | ||
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Braid groups / Christian Kassel, Vladimir Turaev ; with the graphical assistance of Olivier Dodane
| Braid groups / Christian Kassel, Vladimir Turaev ; with the graphical assistance of Olivier Dodane |
| Autore | Kassel, Christian |
| Pubbl/distr/stampa | New York, NY : Springer, c2008 |
| Descrizione fisica | xi, 340 p. : ill. ; 25 cm |
| Disciplina | 514.224 |
| Altri autori (Persone) | Turaev, Vladimir G.author |
| Collana | Graduate texts in mathematics, 0072-5285 ; 247 |
| Soggetto topico | Braid theory |
| ISBN |
9780387338415
0387338411 |
| Classificazione |
AMS 20F36
LC QA612.23.K37 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003951319707536 |
Kassel, Christian
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| New York, NY : Springer, c2008 | ||
| Lo trovi qui: Univ. del Salento | ||
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Braids [[electronic resource] ] : introductory lectures on braids, configurations and their applications / / editors, A. Jon Berrick, ... [et al.]
| Braids [[electronic resource] ] : introductory lectures on braids, configurations and their applications / / editors, A. Jon Berrick, ... [et al.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina |
514.224
516 |
| Altri autori (Persone) | BerrickA. J (A. Jon) |
| Collana | Lecture notes series / Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Braid theory
Representations of groups Algebraic topology |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-76186-2
9786612761867 981-4291-41-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Tutorial on the braid groups / Dale Rolfsen -- Simplicial objects and homotopy groups / Jie Wu -- Introduction to configuration spaces and their applications / Frederick R. Cohen -- Configuration spaces, braids, and robotics / Robert Ghrist -- Braids and magnetic fields / Mitchell A. Berger -- Braid group cryptography / David Garber. |
| Record Nr. | UNINA-9910455569203321 |
| Hackensack, N.J., : World Scientific, c2010 | ||
| Lo trovi qui: Univ. Federico II | ||
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Braids [[electronic resource] ] : introductory lectures on braids, configurations and their applications / / editors, A. Jon Berrick, ... [et al.]
| Braids [[electronic resource] ] : introductory lectures on braids, configurations and their applications / / editors, A. Jon Berrick, ... [et al.] |
| Pubbl/distr/stampa | Hackensack, N.J., : World Scientific, c2010 |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina |
514.224
516 |
| Altri autori (Persone) | BerrickA. J (A. Jon) |
| Collana | Lecture notes series / Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Braid theory
Representations of groups Algebraic topology |
| ISBN |
1-282-76186-2
9786612761867 981-4291-41-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Tutorial on the braid groups / Dale Rolfsen -- Simplicial objects and homotopy groups / Jie Wu -- Introduction to configuration spaces and their applications / Frederick R. Cohen -- Configuration spaces, braids, and robotics / Robert Ghrist -- Braids and magnetic fields / Mitchell A. Berger -- Braid group cryptography / David Garber. |
| Record Nr. | UNINA-9910780892903321 |
| Hackensack, N.J., : World Scientific, c2010 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors
| Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (766 p.) |
| Disciplina | 514/.224 |
| Collana | Contemporary mathematics |
| Soggetto topico | Braid theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7666-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Organizing Committee""; ""List of Participants""; ""Introduction""; ""A construction of integrable differential system associated with braid groups""; ""Mapping class groups of surfaces""; ""Automorphic sets and braids and singularities""; ""The operator algebras of the two dimensional Ising model""; ""Artin's braid groups, classical homotopy theory, and sundry other curiosities""; ""Classification of solvorbifolds in dimension three - I""; ""Pure braid groups and products of free groups""; ""Polynomial covering maps""
""Arithmetic analogues of braid groups and Galois representations""""Application of braids to fixed points of surface maps""; ""Statistical mechanics and the Jones polynomial""; ""Hurwitz action and finite quotients of braid groups""; ""Heights of simple loops and pseudo-Anosov homeomorphisms""; ""Linear representations of braid groups and classical Yang-Baxter equations""; ""A survey of Heeke algebras and the Artin braid groups""; ""On divisibility properties of braids associated with algebraic curves""; ""The panorama of polynomials for knots, links and skeins"" ""The structure of deleted symmetric products""""Braid group technique in complex geometry, I: Linearrangements in Cp2""; ""Problems""; ""Polynomials from braids""; ""The Jones polynomial of satellite links about mutants""; ""On the deformation of certain type of algebraic varieties""; ""Braids and discriminants""; ""tk moves on links""; ""Mutually braided open books and new invariants of fibered links""; ""Generalized braid groups and self-energy Feynman integrals""; ""Markov classes in certain finite symplectic representations of braid groups""; ""The braid index of an algebraic link"" ""Markov algebras"" |
| Record Nr. | UNINA-9910480882803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Lo trovi qui: Univ. Federico II | ||
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Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors
| Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (766 p.) |
| Disciplina | 514/.224 |
| Collana | Contemporary mathematics |
| Soggetto topico | Braid theory |
| ISBN | 0-8218-7666-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Organizing Committee -- List of Participants -- Introduction -- A construction of integrable differential system associated with braid groups -- Mapping class groups of surfaces -- Automorphic sets and braids and singularities -- The operator algebras of the two dimensional Ising model -- Artin's braid groups, classical homotopy theory, and sundry other curiosities -- Classification of solvorbifolds in dimension three - I -- Pure braid groups and products of free groups -- Polynomial covering maps -- Arithmetic analogues of braid groups and Galois representations -- Application of braids to fixed points of surface maps -- Statistical mechanics and the Jones polynomial -- Hurwitz action and finite quotients of braid groups -- Heights of simple loops and pseudo-Anosov homeomorphisms -- Linear representations of braid groups and classical Yang-Baxter equations -- A survey of Heeke algebras and the Artin braid groups -- On divisibility properties of braids associated with algebraic curves -- The panorama of polynomials for knots, links and skeins -- The structure of deleted symmetric products -- Braid group technique in complex geometry, I: Line Arrangements in Cp2 -- Problems -- Polynomials from braids -- The Jones polynomial of satellite links about mutants -- On the deformation of certain type of algebraic varieties -- Braids and discriminants -- tk moves on links -- Mutually braided open books and new invariants of fibered links -- Generalized braid groups and self-energy Feynman integrals -- Markov classes in certain finite symplectic representations of braid groups -- The braid index of an algebraic link -- Markov algebras. |
| Record Nr. | UNINA-9910788786303321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors
| Braids : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group, held July 13-16, 1986 at the University of California, Santa Cruz, California / / Joan S. Birman, Anatoly Libgober, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1988] |
| Descrizione fisica | 1 online resource (766 p.) |
| Disciplina | 514/.224 |
| Collana | Contemporary mathematics |
| Soggetto topico | Braid theory |
| ISBN | 0-8218-7666-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Organizing Committee -- List of Participants -- Introduction -- A construction of integrable differential system associated with braid groups -- Mapping class groups of surfaces -- Automorphic sets and braids and singularities -- The operator algebras of the two dimensional Ising model -- Artin's braid groups, classical homotopy theory, and sundry other curiosities -- Classification of solvorbifolds in dimension three - I -- Pure braid groups and products of free groups -- Polynomial covering maps -- Arithmetic analogues of braid groups and Galois representations -- Application of braids to fixed points of surface maps -- Statistical mechanics and the Jones polynomial -- Hurwitz action and finite quotients of braid groups -- Heights of simple loops and pseudo-Anosov homeomorphisms -- Linear representations of braid groups and classical Yang-Baxter equations -- A survey of Heeke algebras and the Artin braid groups -- On divisibility properties of braids associated with algebraic curves -- The panorama of polynomials for knots, links and skeins -- The structure of deleted symmetric products -- Braid group technique in complex geometry, I: Line Arrangements in Cp2 -- Problems -- Polynomials from braids -- The Jones polynomial of satellite links about mutants -- On the deformation of certain type of algebraic varieties -- Braids and discriminants -- tk moves on links -- Mutually braided open books and new invariants of fibered links -- Generalized braid groups and self-energy Feynman integrals -- Markov classes in certain finite symplectic representations of braid groups -- The braid index of an algebraic link -- Markov algebras. |
| Record Nr. | UNINA-9910827451503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1988] | ||
| Lo trovi qui: Univ. Federico II | ||
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Braids and dynamics / / Jean-Luc Thiffeault
| Braids and dynamics / / Jean-Luc Thiffeault |
| Autore | Thiffeault Jean-Luc |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 514.224 |
| Collana | Frontiers in applied dynamical systems |
| Soggetto topico |
Braid theory
Fluid dynamics Dynamics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031047909
9783031047893 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation: Fluid Mixing -- 1.2 Taffy Pullers -- 1.3 Outline -- 2 Topological Dynamics on the Torus -- 2.1 Diffeomorphisms of the Torus -- 2.2 The Fundamental Group of a Surface -- 2.3 The Mapping Class Group of the Torus -- 2.4 Classification of MCG(T2) -- 2.4.1 Elliptic Case -- 2.4.2 Parabolic Case -- 2.4.3 Hyperbolic Case -- 2.5 Summary -- 3 Stretching with Three Rods -- 3.1 From the Torus to the Sphere -- 3.2 The Mapping Class Groups of S4 and D3 -- 3.3 Dehn Twists -- 3.4 Fluid Stirring with Three Rods -- 3.5 Taffy Pulling with Three Rods -- 3.6 Summary -- 4 Braids -- 4.1 Braids as Particle Dances -- 4.2 Algebraic Braids -- 4.3 Artin's Representation -- 4.4 Free Homotopy Representation -- 4.5 The Burau Representation -- 4.6 Summary -- 5 The Thurston-Nielsen Classification -- 5.1 Classification of Diffeomorphisms of a Surface -- 5.2 Pseudo-Anosov Maps -- 5.3 The Degree of the Dilatation -- 5.4 Summary -- 6 Topological Entropy -- 6.1 Definition -- 6.2 Word Length Growth -- 6.3 The Burau Estimate for the Dilatation -- 6.4 An Upper Bound -- 6.5 Summary -- 7 Train Tracks -- 7.1 The Figure-Eight Stirring Device -- 7.2 A Second Pseudo-Anosov Example -- 7.3 A Reducible Example -- 7.4 Finding Cancellations -- 7.5 Summary -- 8 Dynnikov Coordinates -- 8.1 Coordinates for Multicurves -- 8.2 Action of Braids on Dynnikov Coordinates (Update Rules) -- 8.2.1 Update Rules for sigmai -- 8.2.2 Update Rules for sigmaiinv -- 8.3 Max-Plus Algebra -- 8.4 Mapping Classes and Dynnikov Coordinates -- 8.4.1 Finite-Order Case -- 8.4.2 Reducible Case -- 8.4.3 Pseudo-Anosov Case -- 8.5 The Word Problem -- 8.6 Summary -- 9 The Braidlab Library -- 9.1 Setup and Getting Help -- 9.2 Braids -- 9.2.1 Basic Operations -- 9.2.2 Representation and Invariants -- 9.3 Loops -- 9.3.1 Acting on Loops with Braids.
9.3.2 Loop Coordinates for a Braid -- 9.4 Entropy and Train Tracks -- 9.4.1 Topological Entropy and Complexity -- 9.4.2 Train Track Map and Transition Matrix -- 9.5 Summary -- 10 Braids and Data Analysis -- 10.1 Braids from Closed Trajectories -- 10.1.1 Constructing a Braid from Orbit Data -- 10.1.2 An Example: Taffy Pullers -- 10.1.3 Changing the Projection Line -- 10.2 Braids from Non-closed Trajectories -- 10.2.1 Constructing a Braid from Data: An Example -- 10.2.2 Changing the Projection Line and Enforcing Closure -- 10.2.3 Finite-Time Braiding Exponent (FTBE) -- 10.3 Summary -- Derivation of Dynnikov Update Rules (Spencer A. Smith) -- A.1 Dynnikov Coordinates -- A.2 Whitehead Moves -- A.2.1 Triangulation Coordinates -- A.2.2 Whitehead Move and Update Rule -- A.3 Deriving the Update Rules -- A.3.1 Counterclockwise Switch -- A.3.2 Equivalence of Update Rules -- A.3.3 Clockwise Switch -- A.3.4 Edge Cases -- References -- Index. |
| Record Nr. | UNISA-996490347603316 |
Thiffeault Jean-Luc
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. di Salerno | ||
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Braids and dynamics / / Jean-Luc Thiffeault
| Braids and dynamics / / Jean-Luc Thiffeault |
| Autore | Thiffeault Jean-Luc |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (147 pages) |
| Disciplina | 514.224 |
| Collana | Frontiers in applied dynamical systems |
| Soggetto topico |
Braid theory
Fluid dynamics Dynamics Dinàmica de fluids |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783031047909
9783031047893 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface -- Contents -- List of Symbols -- 1 Introduction -- 1.1 Motivation: Fluid Mixing -- 1.2 Taffy Pullers -- 1.3 Outline -- 2 Topological Dynamics on the Torus -- 2.1 Diffeomorphisms of the Torus -- 2.2 The Fundamental Group of a Surface -- 2.3 The Mapping Class Group of the Torus -- 2.4 Classification of MCG(T2) -- 2.4.1 Elliptic Case -- 2.4.2 Parabolic Case -- 2.4.3 Hyperbolic Case -- 2.5 Summary -- 3 Stretching with Three Rods -- 3.1 From the Torus to the Sphere -- 3.2 The Mapping Class Groups of S4 and D3 -- 3.3 Dehn Twists -- 3.4 Fluid Stirring with Three Rods -- 3.5 Taffy Pulling with Three Rods -- 3.6 Summary -- 4 Braids -- 4.1 Braids as Particle Dances -- 4.2 Algebraic Braids -- 4.3 Artin's Representation -- 4.4 Free Homotopy Representation -- 4.5 The Burau Representation -- 4.6 Summary -- 5 The Thurston-Nielsen Classification -- 5.1 Classification of Diffeomorphisms of a Surface -- 5.2 Pseudo-Anosov Maps -- 5.3 The Degree of the Dilatation -- 5.4 Summary -- 6 Topological Entropy -- 6.1 Definition -- 6.2 Word Length Growth -- 6.3 The Burau Estimate for the Dilatation -- 6.4 An Upper Bound -- 6.5 Summary -- 7 Train Tracks -- 7.1 The Figure-Eight Stirring Device -- 7.2 A Second Pseudo-Anosov Example -- 7.3 A Reducible Example -- 7.4 Finding Cancellations -- 7.5 Summary -- 8 Dynnikov Coordinates -- 8.1 Coordinates for Multicurves -- 8.2 Action of Braids on Dynnikov Coordinates (Update Rules) -- 8.2.1 Update Rules for sigmai -- 8.2.2 Update Rules for sigmaiinv -- 8.3 Max-Plus Algebra -- 8.4 Mapping Classes and Dynnikov Coordinates -- 8.4.1 Finite-Order Case -- 8.4.2 Reducible Case -- 8.4.3 Pseudo-Anosov Case -- 8.5 The Word Problem -- 8.6 Summary -- 9 The Braidlab Library -- 9.1 Setup and Getting Help -- 9.2 Braids -- 9.2.1 Basic Operations -- 9.2.2 Representation and Invariants -- 9.3 Loops -- 9.3.1 Acting on Loops with Braids.
9.3.2 Loop Coordinates for a Braid -- 9.4 Entropy and Train Tracks -- 9.4.1 Topological Entropy and Complexity -- 9.4.2 Train Track Map and Transition Matrix -- 9.5 Summary -- 10 Braids and Data Analysis -- 10.1 Braids from Closed Trajectories -- 10.1.1 Constructing a Braid from Orbit Data -- 10.1.2 An Example: Taffy Pullers -- 10.1.3 Changing the Projection Line -- 10.2 Braids from Non-closed Trajectories -- 10.2.1 Constructing a Braid from Data: An Example -- 10.2.2 Changing the Projection Line and Enforcing Closure -- 10.2.3 Finite-Time Braiding Exponent (FTBE) -- 10.3 Summary -- Derivation of Dynnikov Update Rules (Spencer A. Smith) -- A.1 Dynnikov Coordinates -- A.2 Whitehead Moves -- A.2.1 Triangulation Coordinates -- A.2.2 Whitehead Move and Update Rule -- A.3 Deriving the Update Rules -- A.3.1 Counterclockwise Switch -- A.3.2 Equivalence of Update Rules -- A.3.3 Clockwise Switch -- A.3.4 Edge Cases -- References -- Index. |
| Record Nr. | UNINA-9910592982603321 |
Thiffeault Jean-Luc
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Lo trovi qui: Univ. Federico II | ||
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