Graded Calabi Yau algebras of dimension 3.

From MaRDI portal
Publication:2456381

DOI10.1016/j.jpaa.2007.03.009zbMath1132.16017arXivmath/0603558OpenAlexW1973464380MaRDI QIDQ2456381

Raf Bocklandt

Publication date: 18 October 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603558




Related Items (max. 100)

A theory of generalized Donaldson–Thomas invariantsCONSISTENCY CONDITIONS FOR DIMER MODELSEquivalence of a-maximization and volume minimizationAuslander’s theorem for dihedral actions on preprojective algebras of type ADeformations of Koszul Artin-Schelter Gorenstein algebras.Report on locally finite triangulated categoriesCluster categories for algebras of global dimension 2 and quivers with potential.Tilting theoretical approach to moduli spaces over preprojective algebrasThe Calabi-Yau property of Ore extensions of two-dimensional Artin-Schelter regular algebras and their PBW deformationsAS-REGULARITY OF GEOMETRIC ALGEBRAS OF PLANE CUBIC CURVESOn deformed preprojective algebrasGRADED TWISTED CALABI–YAU ALGEBRAS ARE GENERALIZED ARTIN–SCHELTER REGULARNoncommutative del Pezzo surfaces and Calabi-Yau algebrasThe classification of 3-Calabi-Yau algebras with 3 generators and 3 quadratic relationsInternally Calabi-Yau algebras and cluster-tilting objectsHigher-dimensional Auslander–Reiten theory on (d+2)-angulated categoriesEquivariantization and Serre duality. ICocommutative Calabi-Yau Hopf algebras and deformations.Calabi–Yau CoalgebrasSkew Calabi-Yau algebras and homological identities.Exceptional cycles in triangular matrix algebrasSuperpotentials, Calabi-Yau algebras, and PBW deformations.Serre functors and graded categoriesCalabi-Yau algebras and weighted quiver polyhedra.On Yang-Baxter equation and Calabi-Yau property of Koszul algebrasDerived equivalences from mutations of quivers with potentialHigher APR tilting preserves \(n\)-representation infinitenessFour-vertex quivers supporting twisted graded Calabi-Yau algebrasThe ubiquity of generalized cluster categoriesCalabi-Yau structures on Drinfeld quotients and Amiot's conjectureThe periodicity conjecture for pairs of Dynkin diagramsThe Nakayama automorphism of the almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariantsClassification results for \(n\)-hereditary monomial algebrasOn the homology of almost Calabi-Yau algebras associated to \(\mathrm{SU}(3)\) modular invariants.Geometric realisations of the unipotent enveloping algebra of a quiverExceptional cycles for perfect complexes over gentle algebrasPoincaré-Birkhoff-Witt deformation of Koszul Calabi-Yau algebras.Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions.Representation theory of three-dimensional Sklyanin algebrasHomological properties of certain generalized Jacobian Poisson structures in dimension 3The classification of 3-dimensional Noetherian cubic Calabi-Yau algebrasSuperpotential algebras and manifolds\(n\)-representation infinite algebras.Non-commutative Donaldson-Thomas invariants and the conifoldAlmost Koszul algebras and stably Calabi-Yau algebras.POTENTIAL ALGEBRAS WITH FEW GENERATORSConstructions of graded Frobenius algebrasSkew group algebras of Calabi-Yau algebras.Calabi-Yau deformations and negative cyclic homologyToric systems and mirror symmetryExceptional cycles in the bounded derived categories of quiversCubist algebras.Properties of the fixed ring of a preprojective algebraDualizing Complexes of Noetherian Complete Algebras via CoalgebrasThe \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-YausSuperpotentials and higher order derivations.Generalized Serre dualityNon-commutative projective Calabi-Yau schemesGraded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebrasHelices on del Pezzo surfaces and tilting Calabi-Yau algebrasOn the noncommutative Donaldson-Thomas invariants arising from brane tilingsObjective triangle functorsSpectral measures and generating series for nimrep graphs in subfactor theoryCyclic contractions of dimer algebras always existQuivers supporting twisted Calabi-Yau algebrasClassifying \(\tau\)-tilting modules over preprojective algebras of Dynkin typeMutation of frozen Jacobian algebrasSkew Calabi-Yau property of normal extensionsBatalin-Vilkovisky algebras and the noncommutative Poincaré duality of Koszul Calabi-Yau algebrasMorita equivalences and Azumaya loci from Higgsing dimer algebrasThe Nori-Hilbert scheme is not smooth for 2-Calabi-Yau algebrasCalabi-Yau algebras viewed as deformations of Poisson algebras.A dimer ABC:New 3d \(\mathcal{N} = 2\) SCFT's with \(N^{3/2}\) scalingKoszul calculus of preprojective algebrasCluster structures for 2-Calabi–Yau categories and unipotent groupsDeformations of Quadratic Algebras with Antisymmetric RelationsSkew Calabi-Yau triangulated categories and Frobenius Ext-algebrasStably Calabi-Yau algebras and skew group algebras.Calabi-Yau objects in triangulated categoriesNew Artin-Schelter regular and Calabi-Yau algebras via normal extensionsKoszulity of Algebras with Nonpure ResolutionsSelfinjective quivers with potential and 2-representation-finite algebrasGrowth of graded twisted Calabi-Yau algebrasDimer models and Calabi-Yau algebrasGolod–Shafarevich-Type Theorems and Potential AlgebrasIsomorphisms of graded path algebrasA Complete Classification of 3-dimensional Quadratic AS-regular Algebras of Type ECProjective resolutions of associative algebras and ambiguities.Calabi-Yau algebras and superpotentialsCluster categories of formal DG algebras and singularity categoriesHomogeneous triples for homogeneous algebras with two relations


Uses Software


Cites Work


This page was built for publication: Graded Calabi Yau algebras of dimension 3.