A categorical 𝔰𝔩₂ action on some moduli spaces of sheaves

DOI10.1090/tran/8779zbMath1504.14033arXiv2009.08522OpenAlexW3087440178MaRDI QIDQ5045625

Ryan Takahashi, Nicolas M. Addington

Publication date: 7 November 2022

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.08522

zbMATH Keywords

derived categoriesmoduli spaces\(K3\) surfaces\(\mathfrak{sl}_2\) action

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42) Categorification (18N25)

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Cites Work

• Coherent sheaves on quiver varieties and categorification
• The \(K\)-groups of a blow-up scheme and an excess intersection formula
• Coherent sheaves and categorical \(\mathfrak{sl}_2\) actions
• Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
• Heisenberg algebra and Hilbert schemes of points on projective surfaces
• \(D\)-equivalence and \(K\)-equivalence
• Moduli of sheaves on surfaces and action of the oscillator algebra.
• Categorical geometric symmetric Howe duality
• Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
• Instantons and affine algebras. I: The Hilbert scheme and vertex operators
• Counting rational curves on \(K3\) surfaces
• Derived categories of projectivizations and flops
• Hecke correspondences for smooth moduli spaces of sheaves
• Dualité relative en géométrie analytique complexe
• Singularities of stable varieties
• Lectures on K3 Surfaces
• Moduli spaces of torsion sheaves on K3 surfaces and derived equivalences
• ON THE DERIVED CATEGORY OF COHERENT SHEAVES ON GRASSMANN MANIFOLDS
• The Geometry of Schemes
• The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
• Mukai flops and derived categories
• Some examples of Mukai's reflections on K3 surfaces
• Derived equivalences for cotangent bundles of Grassmannians via categorical 𝔰𝔩2 actions
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