Microlocal sheaves and quiver varieties

DOI10.5802/afst.1502zbMath1370.14026arXiv1506.07050OpenAlexW2962949408MaRDI QIDQ341050

Roman Bezrukavnikov, Mikhail Kapranov

Publication date: 15 November 2016

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.07050

Mathematics Subject Classification ID

Local ground fields in algebraic geometry (14G20) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99)

Related Items

Perverse sheaves over real hyperplane arrangements, Euler continuants in noncommutative quasi-Poisson geometry, Symplectic Resolutions for Multiplicative Quiver Varieties and Character Varieties for Punctured Surfaces, Multiplicative preprojective algebras of Dynkin quivers, Multiplicative preprojective algebras are 2-Calabi-Yau, Calabi-Yau structures for multiplicative preprojective algebras, The pure cohomology of multiplicative quiver varieties, Refined disk potentials for immersed Lagrangian surfaces, Theory of homotopes with applications to mutually unbiased bases, harmonic analysis on graphs, and perverse sheaves

Cites Work

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• Shifted symplectic structures
• Ribbon graphs and mirror symmetry
• Noncommutative del Pezzo surfaces and Calabi-Yau algebras
• Wild character varieties, points on the Riemann sphere and Calabi's examples
• Quantization of minimal resolutions of Kleinian singularities.
• The homotopy theory of dg-categories and derived Morita theory
• Global Weyl groups and a new theory of multiplicative quiver varieties
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• \({\mathcal D}\)-modules et faisceaux pervers dont le support singulier est un croisement normal
• The symplectic nature of fundamental groups of surfaces
• Differential equations with polynomial coefficients
• Lie group valued moment maps
• Quiver varieties and Kac-Moody algebras
• Multiplicative preprojective algebras, middle convolution and the Deligne-Simpson problem
• Geometry and braiding of Stokes data; fission and wild character varieties
• Moduli spaces of local systems and higher Teichmüller theory
• Derived quot schemes
• Lagrangian structures on mapping stacks and semi-classical TFTs
• Double Poisson algebras
• Geometry of Multiplicative Preprojective Algebra
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• A relation between Hochschild homology and cohomology for Gorenstein rings
• Quasi-Poisson Manifolds
• Monodromy for systems of vector bundles and multiplicative preprojective algebras
• Quantum groups and quantum cohomology
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Moduli of objects in dg-categories
• Introduction to Algebraic K-Theory. (AM-72)