Dimer models and Calabi-Yau algebras / / Nathan Broomhead
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| Autore: |
Broomhead Nathan <1982->
|
| Titolo: |
Dimer models and Calabi-Yau algebras / / Nathan Broomhead
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (86 p.) |
| Disciplina: | 516.3/52 |
| Soggetto topico: | Toric varieties |
| Calabi-Yau manifolds | |
| Noncommutative algebras | |
| Geometry, Algebraic | |
| Note generali: | "Volume 215, Number 1011 (second of 5 numbers)." |
| "January 2012, Volume 215, Number 1011 (second of 5 numbers)." | |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows"" |
| ""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" | |
| ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" | |
| Titolo autorizzato: | Dimer models and Calabi-Yau algebras |
| ISBN: | 0-8218-8514-6 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910827787703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 215, Number 1011.