{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":23,"n_cols":5,"rows_kept":23,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[13,2,13,3],[14,2,14,3],[19,2,19,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910788616903321"]
[null,null,"Autore",null,"Broomhead Nathan <1982->"]
[null,null,"Titolo",null,"Dimer models and Calabi-Yau algebras / / Nathan Broomhead"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 2011"]
[{"$nulls":4},"©2011"]
[null,null,"ISBN",null,"0-8218-8514-6"]
[null,null,"Descrizione fisica",null,"1 online resource (86 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 215, Number 1011"]
[null,null,"Disciplina",null,"516.3/52"]
[null,null,"Soggetti",null,"Toric varieties"]
[{"$nulls":4},"Calabi-Yau manifolds"]
[{"$nulls":4},"Noncommutative algebras"]
[{"$nulls":4},"Geometry, Algebraic"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"Volume 215, Number 1011 (second of 5 numbers).\""]
[{"$nulls":4},"\"January 2012, Volume 215, Number 1011 (second of 5 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"Contents\"\"; \"\"Acknowledgements\"\"; \"\"Chapter 1. Introduction\"\"; \"\"1.1. Overview\"\"; \"\"1.2. Structure of the article and main results\"\"; \"\"1.3. Related results\"\"; \"\"Chapter 2. Introduction to the dimer model\"\"; \"\"2.1. Quivers and algebras from dimer models\"\"; \"\"2.2. Symmetries\"\"; \"\"2.3. Perfect matchings\"\"; \"\"Chapter 3. Consistency\"\"; \"\"3.1. A further condition on the R-symmetry\"\"; \"\"3.2. Rhombus tilings\"\"; \"\"3.3. Zig-zag flows\"\"; \"\"3.4. Constructing dimer models\"\"; \"\"3.5. Some consequences of geometric consistency\"\"; \"\"Chapter 4. Zig-zag flows and perfect matchings\"\"; \"\"4.1. Boundary flows\"\""]
[{"$nulls":4},"\"\"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\"\""]
[{"$nulls":4},"\"\"6.3. Proof of Theorem 6.1\"\"\"\"Chapter 7. Calabi-Yau algebras from algebraically consistent dimers\"\"; \"\"7.1. Calabi-Yau algebras\"\"; \"\"7.2. The one sided complex\"\"; \"\"7.3. Key lemma\"\"; \"\"7.4. The main result\"\"; "]
[{"$nulls":4},"\"\"Chapter 8. Non-commutative crepant resolutions\"\"; \"\"8.1. Reflexivity\"\"; \"\"8.2. Non-commutative crepant resolutions\"\"; \"\"Bibliography\"\""]