Purity and 2-Calabi-Yau categories
From MaRDI portal
Publication:6614099
DOI10.1007/s00222-024-01279-9MaRDI QIDQ6614099
Publication date: 7 October 2024
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Surfaces and higher-dimensional varieties (14Jxx) Families, fibrations in algebraic geometry (14Dxx) (Co)homology theory in algebraic geometry (14Fxx)
Cites Work
- Shifted symplectic structures
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Topology of Hitchin systems and Hodge theory of character varieties: the case \(A_1\)
- Cohomological Hall algebra, exponential Hodge structures and motivic Donaldson-Thomas invariants
- Superpotential algebras and manifolds
- The derived Maurer-Cartan locus
- Stable bundles and integrable systems
- Modules de Hodge polarisables. (Polarisable Hodge modules)
- The Nori-Hilbert scheme is not smooth for 2-Calabi-Yau algebras
- Cohomological Donaldson-Thomas theory of a quiver with potential and quantum enveloping algebras
- \(\mathbb P\)-objects and autoequivalences of derived categories
- Deformation theory of objects in homotopy and derived categories. I: General theory
- Abstract Hodge decomposition and minimal models for cyclic algebras
- Topological conformal field theories and Calabi-Yau categories
- New enhancements of derived categories of coherent sheaves and applications
- A\({}_{\infty}\)-algebras and the cyclic bar complex
- Fukaya categories and Picard-Lefschetz theory
- Unifying derived deformation theories
- The perverse filtration and the Lefschetz hyperplane theorem
- Flat G-bundles with canonical metrics
- Number of two-dimensional irreducible representations of the fundamental group of a curve over a finite field
- Higgs bundles and local systems
- Real homotopy theory of Kähler manifolds
- Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
- Equivariant sheaves and functors
- Equivariant intersection theory (With an appendix by Angelo Vistoli: The Chow ring of \({\mathcal M}_2\))
- Mirror symmetry, Langlands duality, and the Hitchin system
- Moduli stacks of semistable sheaves and representations of Ext-quivers
- Motivic classes of moduli of Higgs bundles and moduli of bundles with connections
- Calabi-Yau deformations and negative cyclic homology
- Singularities of moduli spaces of sheaves on $K3$ surfaces and Nakajima quiver varieties
- Braid group actions on derived categories of coherent sheaves.
- Normality of Marsden-Weinstein reductions for representations of quivers.
- Mixed Hodge complexes on algebraic varieties
- Stability conditions in families
- Purity of critical cohomology and Kac's conjecture
- Relative Calabi-Yau structures. II: Shifted Lagrangians in the moduli of objects
- On the \(P = W\) conjecture for \(\mathrm{SL}_n\)
- P=W conjectures for character varieties with symplectic resolution
- A Luna étale slice theorem for algebraic stacks
- Cohomological Hall algebras for Higgs torsion sheaves, moduli of triples and sheaves on surfaces
- Homotopy finiteness of some DG categories from algebraic geometry
- Donaldson-Thomas invariants versus intersection cohomology of quiver moduli
- Calabi-Yau algebras and superpotentials
- Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
- Stability conditions on triangulated categories
- Moduli stacks and invariants of semistable objects on \(K3\) surfaces
- Affine stacks
- Good moduli spaces for Artin stacks
- Algebraic approximation of structures over complete local rings
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Counting absolutely cuspidals for quivers
- Loop spaces and connections
- Deformed Calabi–Yau completions
- SCHEMATIC HARDER–NARASIMHAN STRATIFICATION
- Derived Categories of Cubic Fourfolds
- Notes on Kontsevich-Soibelman's Theorem about Cyclic A -algebras
- Cohomological Hall algebras and character varieties
- Moduli Space of Semistable Pairs on a Curve
- Moduli of complexes on a proper morphism
- NONCOMMUTATIVE HOMOTOPY ALGEBRAS ASSOCIATED WITH OPEN STRINGS
- Notes on Motives in Finite Characteristic
- Uniqueness of enhancement for triangulated categories
- ON THE HOMOLOGY THEORY OF FIBRE SPACES
- The Self-Duality Equations on a Riemann Surface
- Twisted Harmonic Maps and the Self-Duality Equations
- Spectral curves and the generalised theta divisor.
- Biregular classification of Fano 3-folds and Fano manifolds of coindex 3
- Deriving DG categories
- MODULI OF REPRESENTATIONS OF FINITE DIMENSIONAL ALGEBRAS
- An Introduction to K-theory and Cyclic Cohomology
- The Critical CoHA of a Quiver With Potential
- A young person's guide to mixed Hodge modules
- Cohomological Hall Algebras, Semicanonical Bases and Donaldson–Thomas Invariants for 2-dimensional Calabi–Yau Categories (with an Appendix by Ben Davison)
- Gushel-Mukai varieties: Classification and birationalities
- The Yang-Mills equations over Riemann surfaces
- On two cohomological Hall algebras
- Dimensional reduction in cohomological Donaldson–Thomas theory
- The integral Hodge conjecture for two-dimensional Calabi–Yau categories
- Cohomological Hall algebra of Higgs sheaves on a curve
- Relative Calabi–Yau structures
- Counting Higgs bundles and type quiver bundles
- A support theorem for the Hitchin fibration: the case of
- Formality conjecture for K3 surfaces
- Homotopical algebraic geometry. II. Geometric stacks and applications
- The perverse filtration and the Lefschetz hyperplane theorem, II
- Moduli of objects in dg-categories
- Mixed Hodge Structures
- Hitchin fibrations, abelian surfaces, and the P=W conjecture
- INTERSECTION COHOMOLOGY OF THE MODULI SPACE OF HIGGS BUNDLES ON A GENUS 2 CURVE
- Mixed Hodge modules
- The deformation theory of representations of fundamental groups of compact Kähler manifolds
- Introduction to \(A\)-infinity algebras and modules
- Indecomposable vector bundles and stable Higgs bundles over smooth projective curves
- Multiplicative preprojective algebras are 2-Calabi-Yau
- The integrality conjecture and the cohomology of preprojective stacks
- The cohomological Hall algebra of a surface and factorization cohomology
- Existence of moduli spaces for algebraic stacks
- Calabi-Yau structures for multiplicative preprojective algebras
- INTERSECTION COHOMOLOGY OF RANK 2 CHARACTER VARIETIES OF SURFACE GROUPS
- Two-dimensional categorified Hall algebras
- Stability conditions on Kuznetsov components
- Relative critical loci and quiver moduli
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Purity and 2-Calabi-Yau categories