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Cluster algebras and triangulated surfaces . Part II Lambda lengths / / Sergey Fomin, Dylan Thurston
| Cluster algebras and triangulated surfaces . Part II Lambda lengths / / Sergey Fomin, Dylan Thurston |
| Autore | Fomin Sergey |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2018 |
| Descrizione fisica | 1 online resource (110 pages) |
| Disciplina | 512.44 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Cluster algebras
Lambda algebra Teichmüller spaces |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-4823-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Cover -- Title page -- Chapter 1. Introduction -- Chapter 2. Non-normalized cluster algebras -- Chapter 3. Rescaling and normalization -- Chapter 4. Cluster algebras of geometric type and their positive realizations -- Chapter 5. Bordered surfaces, arc complexes, and tagged arcs -- Chapter 6. Structural results -- Chapter 7. Lambda lengths on bordered surfaces with punctures -- Chapter 8. Lambda lengths of tagged arcs -- Chapter 9. Opened surfaces -- Chapter 10. Lambda lengths on opened surfaces -- Chapter 11. Non-normalized exchange patterns from surfaces -- Chapter 12. Laminations and shear coordinates -- Chapter 13. Shear coordinates with respect to tagged triangulations -- Chapter 14. Tropical lambda lengths -- Chapter 15. Laminated Teichmüller spaces -- Chapter 16. Topological realizations of some coordinate rings -- Chapter 17. Principal and universal coefficients -- Appendix A. Tropical degeneration and relative lambda lengths -- Appendix B. Versions of Teichmüller spaces and coordinates -- Bibliography -- Back Cover. |
| Record Nr. | UNINA-9910478891603321 |
Fomin Sergey
|
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| Providence, Rhode Island : , : American Mathematical Society, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell
| Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell |
| Autore | Chiswell Ian <1948-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (327 p.) |
| Disciplina | 512.2 |
| Soggetto topico |
Lambda algebra
Trees (Graph theory) Group theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-95621-X
9786611956219 981-281-053-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Chapter 1. Preliminaries ; 1. Ordered abelian groups ; 2. Metric spaces ; 3. Graphs and simplicial trees ; 4. Valuations ; Chapter 2. Λ-trees and their Construction; 1. Definition and elementary properties ; 2. Special properties of R-trees; 3. Linear subtrees and ends ; 4. Lyndon length functions
Chapter 3. Isometries of Λ-trees1. Theory of a single isometry ; 2. Group actions as isometries ; 3. Pairs of isometries ; 4. Minimal actions ; Chapter 4. Aspects of Group Actions on Λ-trees; 1. Introduction ; 2. Actions of special classes of groups ; 3. The action of the special linear group ; 4. Measured laminations 5. Hyperbolic surfaces 6. Spaces of actions on R-trees ; Chapter 5. Free Actions ; 1. Introduction ; 2. Harrison's Theorem ; 3. Some examples ; 4. Free actions of surface groups ; 5. Non-standard free groups ; Chapter 6. Rips' Theorem ; 1. Systems of isometries 2. Minimal components 3. Independent generators ; 4. Interval exchanges and conclusion ; References ; Index of Notation ; Index |
| Record Nr. | UNINA-9910454383303321 |
|
Chiswell Ian <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell
| Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell |
| Autore | Chiswell Ian <1948-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (327 p.) |
| Disciplina | 512.2 |
| Soggetto topico |
Lambda algebra
Trees (Graph theory) Group theory |
| ISBN |
1-281-95621-X
9786611956219 981-281-053-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Chapter 1. Preliminaries ; 1. Ordered abelian groups ; 2. Metric spaces ; 3. Graphs and simplicial trees ; 4. Valuations ; Chapter 2. Λ-trees and their Construction; 1. Definition and elementary properties ; 2. Special properties of R-trees; 3. Linear subtrees and ends ; 4. Lyndon length functions
Chapter 3. Isometries of Λ-trees1. Theory of a single isometry ; 2. Group actions as isometries ; 3. Pairs of isometries ; 4. Minimal actions ; Chapter 4. Aspects of Group Actions on Λ-trees; 1. Introduction ; 2. Actions of special classes of groups ; 3. The action of the special linear group ; 4. Measured laminations 5. Hyperbolic surfaces 6. Spaces of actions on R-trees ; Chapter 5. Free Actions ; 1. Introduction ; 2. Harrison's Theorem ; 3. Some examples ; 4. Free actions of surface groups ; 5. Non-standard free groups ; Chapter 6. Rips' Theorem ; 1. Systems of isometries 2. Minimal components 3. Independent generators ; 4. Interval exchanges and conclusion ; References ; Index of Notation ; Index |
| Record Nr. | UNINA-9910782389103321 |
|
Chiswell Ian <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell
| Introduction to [lambda]-trees [[electronic resource] /] / Ian Chiswell |
| Autore | Chiswell Ian <1948-> |
| Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
| Descrizione fisica | 1 online resource (327 p.) |
| Disciplina | 512.2 |
| Soggetto topico |
Lambda algebra
Trees (Graph theory) Group theory |
| ISBN |
1-281-95621-X
9786611956219 981-281-053-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Chapter 1. Preliminaries ; 1. Ordered abelian groups ; 2. Metric spaces ; 3. Graphs and simplicial trees ; 4. Valuations ; Chapter 2. Λ-trees and their Construction; 1. Definition and elementary properties ; 2. Special properties of R-trees; 3. Linear subtrees and ends ; 4. Lyndon length functions
Chapter 3. Isometries of Λ-trees1. Theory of a single isometry ; 2. Group actions as isometries ; 3. Pairs of isometries ; 4. Minimal actions ; Chapter 4. Aspects of Group Actions on Λ-trees; 1. Introduction ; 2. Actions of special classes of groups ; 3. The action of the special linear group ; 4. Measured laminations 5. Hyperbolic surfaces 6. Spaces of actions on R-trees ; Chapter 5. Free Actions ; 1. Introduction ; 2. Harrison's Theorem ; 3. Some examples ; 4. Free actions of surface groups ; 5. Non-standard free groups ; Chapter 6. Rips' Theorem ; 1. Systems of isometries 2. Minimal components 3. Independent generators ; 4. Interval exchanges and conclusion ; References ; Index of Notation ; Index |
| Record Nr. | UNINA-9910817324103321 |
|
Chiswell Ian <1948->
|
||
| Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Lambda algebra
(4)
- Group theory (3)
- Trees (Graph theory) (3)
- Cluster algebras (1)
- Teichmüller spaces (1)