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101 0 $aeng
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181   $ctxt
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183   $acr
200 10$aDimer models and Calabi-Yau algebras /$fNathan Broomhead
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011.
210  4$dİ2011
215   $a1 online resource (86 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 215, Number 1011
300   $a"Volume 215, Number 1011 (second of 5 numbers)."
300   $a"January 2012, Volume 215, Number 1011 (second of 5 numbers)."
311   $a0-8218-5308-2 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 215, Number 1011.
606   $aToric varieties
606   $aCalabi-Yau manifolds
606   $aNoncommutative algebras
606   $aGeometry, Algebraic
615  0$aToric varieties.
615  0$aCalabi-Yau manifolds.
615  0$aNoncommutative algebras.
615  0$aGeometry, Algebraic.
676   $a516.3/52
700   $aBroomhead$b Nathan$f1982-$01542987
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788616903321
996   $aDimer models and Calabi-Yau algebras$93796216
997   $aUNINA