Purity and 2-Calabi-Yau categories (Q6614099)

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scientific article; zbMATH DE number 7921929

Language	Label	Description	Also known as
English	Purity and 2-Calabi-Yau categories	scientific article; zbMATH DE number 7921929

Statements

scholarly article

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Purity and 2-Calabi-Yau categories (English)

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Inventiones Mathematicae

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publication date

7 October 2024

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MaRDI profile type

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Good moduli spaces for Artin stacks

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A Luna étale slice theorem for algebraic stacks

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Existence of moduli spaces for algebraic stacks

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Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties

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Algebraic approximation of structures over complete local rings

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The Yang-Mills equations over Riemann surfaces

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Stability conditions in families

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Stability conditions on Kuznetsov components

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Spectral curves and the generalised theta divisor.

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Loop spaces and connections

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Equivariant sheaves and functors

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The Nori-Hilbert scheme is not smooth for 2-Calabi-Yau algebras

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Counting absolutely cuspidals for quivers

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Relative critical loci and quiver moduli

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Calabi-Yau structures for multiplicative preprojective algebras

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Relative Calabi–Yau structures

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Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects

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Stability conditions on triangulated categories

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An Introduction to K-theory and Cyclic Cohomology

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Formality conjecture for K3 surfaces

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Notes on Kontsevich-Soibelman's Theorem about Cyclic A -algebras

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Abstract Hodge decomposition and minimal models for cyclic algebras

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Flat G-bundles with canonical metrics

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Topological conformal field theories and Calabi-Yau categories

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Normality of Marsden-Weinstein reductions for representations of quivers.

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Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem

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Superpotential algebras and manifolds

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Cohomological Hall algebras and character varieties

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The Critical CoHA of a Quiver With Potential

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Purity of critical cohomology and Kac's conjecture

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The integrality conjecture and the cohomology of preprojective stacks

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Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras

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The perverse filtration and the Lefschetz hyperplane theorem, II

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The perverse filtration and the Lefschetz hyperplane theorem

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Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)

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A support theorem for the Hitchin fibration: the case of

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Hitchin fibrations, abelian surfaces, and the P=W conjecture

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On the \(P = W\) conjecture for \(\mathrm{SL}_n\)

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Calabi-Yau deformations and negative cyclic homology

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Gushel-Mukai varieties: Classification and birationalities

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Théorie de Hodge. II. (Hodge theory. II)

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Théorie de Hodge. III

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Real homotopy theory of Kähler manifolds

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Twisted Harmonic Maps and the Self-Duality Equations

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Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field

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Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))

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Homotopy finiteness of some DG categories from algebraic geometry

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Deformation theory of objects in homotopy and derived categories. I: General theory

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Motivic classes of moduli of Higgs bundles and moduli of bundles with connections

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INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE

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P=W conjectures for character varieties with symplectic resolution

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The derived Maurer-Cartan locus

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A\({}_{\infty}\)-algebras and the cyclic bar complex

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The deformation theory of representations of fundamental groups of compact Kähler manifolds

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Mirror symmetry, Langlands duality, and the Hitchin system

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Stable bundles and integrable systems

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The Self-Duality Equations on a Riemann Surface

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\(\mathbb P\)-objects and autoequivalences of derived categories

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ON THE HOMOLOGY THEORY OF FIBRE SPACES

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NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS

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Multiplicative preprojective algebras are 2-Calabi-Yau

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The cohomological Hall algebra of a surface and factorization cohomology

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Deriving DG categories

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Introduction to \(A\)-infinity algebras and modules

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Deformed Calabi–Yau completions

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MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS

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Dimensional reduction in cohomological Donaldson–Thomas theory

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Notes on Motives in Finite Characteristic

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Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants

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Derived Categories of Cubic Fourfolds

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Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)

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Moduli of complexes on a proper morphism

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Uniqueness of enhancement for triangulated categories

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New enhancements of derived categories of coherent sheaves and applications

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INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS

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Donaldson-Thomas invariants versus intersection cohomology of quiver moduli

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Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces

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Counting Higgs bundles and type quiver bundles

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Biregular classification of Fano 3-folds and Fano manifolds of coindex 3

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Moduli Space of Semistable Pairs on a Curve

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SCHEMATIC HARDER–NARASIMHAN STRATIFICATION

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Shifted symplectic structures

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The integral Hodge conjecture for two-dimensional Calabi–Yau categories

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Mixed Hodge Structures

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Two-dimensional categorified Hall algebras

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Unifying derived deformation theories

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Cohomological Hall Algebras, Semicanonical Bases and Donaldson–Thomas Invariants for 2-dimensional Calabi–Yau Categories (with an Appendix by Ben Davison)

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Modules de Hodge polarisables. (Polarisable Hodge modules)

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Mixed Hodge modules

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Mixed Hodge complexes on algebraic varieties

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A young person's guide to mixed Hodge modules

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Cohomological Hall algebra of Higgs sheaves on a curve

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Indecomposable vector bundles and stable Higgs bundles over smooth projective curves

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Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)

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Fukaya categories and Picard-Lefschetz theory

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Braid group actions on derived categories of coherent sheaves.

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Higgs bundles and local systems

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Moduli stacks and invariants of semistable objects on \(K3\) surfaces

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Moduli stacks of semistable sheaves and representations of Ext-quivers

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Moduli of objects in dg-categories

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Homotopical algebraic geometry. II. Geometric stacks and applications

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Calabi-Yau algebras and superpotentials

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On two cohomological Hall algebras

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Identifiers

10.1007/s00222-024-01279-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6614099

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