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Cluster Algebras and Triangulated Surfaces Part II.
For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmüller space of the surface. On the geometric side, this requires opening the surface at each interi...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence :
American Mathematical Society,
2018.
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| Colección: | Memoirs of the American Mathematical Society Ser.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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 triangulationsChapter 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.