Autoequivalences of derived categories via geometric invariant theory

DOI10.1016/j.aim.2016.06.017zbMath1371.14023arXiv1303.5531OpenAlexW2963764790MaRDI QIDQ323728

Daniel Halpern-Leistner, Ian Shipman

Publication date: 10 October 2016

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5531

zbMATH Keywords

geometric invariant theoryderived categories of coherent sheaves

Mathematics Subject Classification ID

Related Items (17)

Exoflops in two dimensions ⋮ Spherical DG-functors ⋮ Adjoints to a Fourier-Mukai functor ⋮ Flops and spherical functors ⋮ Perverse schobers and Orlov equivalences ⋮ Exceptional cycles in triangular matrix algebras ⋮ \(G_2\)-Grassmannians and derived equivalences ⋮ Relating derived equivalences for simplices of higher-dimensional flops ⋮ Noncommutative crepant resolutions, an overview ⋮ Mirror symmetry for perverse schobers from birational geometry ⋮ Mixed braid group actions from deformations of surface singularities ⋮ Categories of massless D-branes and del Pezzo surfaces ⋮ Universal functors on symmetric quotient stacks of abelian varieties ⋮ Perverse schobers on Riemann surfaces: constructions and examples ⋮ Dehn twists and Lagrangian spherical manifolds ⋮ Discriminants and semi-orthogonal decompositions ⋮ Simultaneous categorical resolutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivalences between GIT quotients of Landau-Ginzburg B-models
• An integral structure in quantum cohomology and mirror symmetry for toric orbifolds
• Variation of geometric invariant theory quotients. (With an appendix: ``An example of a thick wall by Nicolas Ressayre)
• Derived category automorphisms from mirror symmetry
• Braid group actions on derived categories of coherent sheaves.
• Mirror symmetry for weighted projective planes and their noncommutative deformations
• Spherical DG-functors
• Massless D-branes on Calabi-Yau threefolds and monodromy
• Window shifts, flop equivalences and Grassmannian twists
• REPRESENTATION OF ASSOCIATIVE ALGEBRAS AND COHERENT SHEAVES
• A geometric approach to Orlov’s theorem
• B-Type D-Branes in Toric Calabi–Yau Varieties
• The derived category of a GIT quotient
• Equivalence of the Derived Category of a Variety with a Singularity Category

This page was built for publication: Autoequivalences of derived categories via geometric invariant theory