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Braid groups : with the graphical assistance of Olivier Dodane / Christian Kassel, Vladimir Turaev
| Braid groups : with the graphical assistance of Olivier Dodane / Christian Kassel, Vladimir Turaev |
| Autore | KASSEL, Christian |
| Pubbl/distr/stampa | New York, : Springer, copyr. 2008 |
| Descrizione fisica | XI, 340 p. ; 24 cm |
| Disciplina | 514.224 |
| Collana | Graduate texts in mathematics |
| Soggetto topico | Teoria dei nodi |
| ISBN | 978-0-387-33841-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990003161550203316 |
| KASSEL, Christian | ||
| New York, : Springer, copyr. 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Braids : proceedings of the AMS-IMS-SIAM joint summer research conference on Artin's Braid group held July 13-26, 1996 at the University of California, Santa Cruz, California / Joan S. Birman and Anatoly Libgober, editors
| Braids : proceedings of the AMS-IMS-SIAM joint summer research conference on Artin's Braid group held July 13-26, 1996 at the University of California, Santa Cruz, California / Joan S. Birman and Anatoly Libgober, editors |
| Autore | AMS-IMS-SIAM Joint Summer research conference in the mathematical sciences on Artin's Braid Group <1986 ; University of California, Santa Cruz> |
| Pubbl/distr/stampa | Providence, R.I. : American Mathematical Society, c1988 |
| Descrizione fisica | xxxv, 730 p. : ill. ; 26 cm |
| Disciplina | 514.224 |
| Altri autori (Persone) |
Libgober, Anatolyauthor
Birman, Joan S. |
| Altri autori (Enti) |
Institute of mathematical statistics
Society for Industrial and Applied Mathematics American Mathematical Society |
| Collana | Contemporary mathematics, 0271-4132 ; 78 |
| Soggetto topico | Braid theory - Congresses |
| ISBN | 0821850881 |
| Classificazione |
AMS 11R29
AMS 14B AMS 46L10 AMS 46L35 AMS 55-06 AMS 55P AMS 55S AMS 57M AMS 58F |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000722679707536 |
|
AMS-IMS-SIAM Joint Summer research conference in the mathematical sciences on Artin's Braid Group <1986 ; University of California, Santa Cruz>
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| Providence, R.I. : American Mathematical Society, c1988 | ||
| Materiale a stampa | ||
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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.] |
| Edizione | [1st ed.] |
| 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-9910816047303321 |
| Hackensack, N.J., : World Scientific, c2010 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
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Thiffeault Jean-Luc
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| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Braids and self-distributivity / Patrick Dehornoy
| Braids and self-distributivity / Patrick Dehornoy |
| Autore | Dehornoy, Patrick |
| Pubbl/distr/stampa | Basel ; Boston : Birkhäuser, c2000 |
| Descrizione fisica | xix, 623 p. : ill. ; 24 cm |
| Disciplina | 514.224 |
| Collana |
Progress in mathematics [Birkhauser], 0743-1643; 192
Progress in mathematics ; 192 |
| Soggetto topico |
Braid theory
Set theory |
| ISBN | 3764363436 (alk. paper) |
| Classificazione |
AMS 20F36
LC QA612.23.D44 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003350269707536 |
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Dehornoy, Patrick
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| Basel ; Boston : Birkhäuser, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Braids, links, and mapping class groups / by Joan S. Birman
| Braids, links, and mapping class groups / by Joan S. Birman |
| Autore | BIRMAN, Joan S. |
| Pubbl/distr/stampa | Princeton : Princeton University press |
| Descrizione fisica | IX, 228 p. : ill.; graf. ; 24 cm |
| Disciplina | 514.224 |
| Collana | Annals of Mathematics studies |
| Soggetto non controllato |
Teoria dei nodi
Gruppi (Matamatica) Rappresentazioni |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-990000620710203316 |
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BIRMAN, Joan S.
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| Princeton : Princeton University press | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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