Cluster categories and rational curves

Cites Work

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2-Calabi-Yau tilted algebras.
Cluster characters for cluster categories with infinite-dimensional morphism spaces
Derived equivalences from mutations of quivers with potential
Compact generators in categories of matrix factorizations
Contraction algebra and singularity of three-dimensional flopping contraction
Three-dimensional flops and noncommutative rings
Noncommutative deformations and flops
Non-commutative deformations of simple objects in a category of perverse coherent sheaves
Deformation theory of objects in homotopy and derived categories. I: General theory
Cluster categories for algebras of global dimension 2 and quivers with potential.
The homotopy theory of dg-categories and derived Morita theory
Cyclic cohomology and algebra extensions
The infinitesimal Abel-Jacobi mapping and moving the \({\mathcal O}(2)+{\mathcal O}(-4)\) curve
The \(A_\infty\) deformation theory of a point and the derived categories of local Calabi-Yaus
Deformation theory of objects in homotopy and derived categories. II: Pro-representability of the deformation functor
Grothendieck group and generalized mutation rule for 2-Calabi-Yau triangulated categories
Classification of isolated hypersurface singularities by their moduli algebras
Hochschild and cyclic homology of hypersurfaces
On the cyclic homology of exact categories
Invariance and localization for cyclic homology of DG algebras
Tensor products of some special rings.
DG quotients of DG categories.
Singular Hochschild cohomology via the singularity category
Flops and clusters in the homological minimal model programme
Derived localisation of algebras and modules
The tilting theory of contraction algebras
Quasi-homogeneity of potentials
On the finiteness of the derived equivalence classes of some stable endomorphism rings
Calabi-Yau algebras and superpotentials
Stable categories of higher preprojective algebras.
Graded Calabi Yau algebras of dimension 3.
Mutation in triangulated categories and rigid Cohen-Macaulay modules
Silting mutation in triangulated categories
Mather-Yau theorem in positive characteristic
Deformed Calabi–Yau completions
Integral transforms and Drinfeld centers in derived algebraic geometry
Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
Homological Algebra on a Complete Intersection, with an Application to Group Representations
Motivic realizations of singularity categories and vanishing cycles
On multi-pointed non-commutative deformations and Calabi–Yau threefolds
Contraction algebra and invariants of singularities
Gerstenhaber algebra and Deligne’s conjecture on the Tate–Hochschild cohomology
Smoothness of Derived Categories of Algebras
𝐴_{∞}-structures associated with pairs of 1-spherical objects and noncommutative orders over curves
A construction of derived equivalent pairs of symmetric algebras
Weight Structures and Simple dg Modules for Positive dg Algebras
Contractions and deformations
Ind-coherent sheaves
-tilting theory
Bimodule complexes via strong homotopy actions
q-stability conditions on Calabi–Yau-𝕏 categories
Noncommutative Mather-Yau theorem and its applications to Calabi-Yau algebras
A lockdown survey on cDV singularities
Global critical chart for local Calabi-Yau threefolds
The Donovan-Wemyss conjecture via the derived Auslander-Iyama correspondence

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