Semiorthogonal decompositions of the categories of equivariant coherent sheaves for some reflection groups

DOI10.4171/JEMS/890zbMath1470.14037arXiv1503.04160OpenAlexW2963252146WikidataQ104184204 ScholiaQ104184204MaRDI QIDQ2327701

Alexander Polishchuk, Michel Van den Bergh

Publication date: 15 October 2019

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04160

zbMATH Keywords

Hochschild homologyderived categoryequivariant cohomologyreflection groupsemiorthogonal decompositionSpringer correspondenceequivariant sheaf

Mathematics Subject Classification ID

Equivariant homology and cohomology in algebraic topology (55N91) Derived categories, triangulated categories (18G80) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items

Noncommutative crepant resolutions, an overview ⋮ Derived equivalences of gentle algebras via Fukaya categories ⋮ Universal functors on symmetric quotient stacks of abelian varieties ⋮ Motivic Springer theory ⋮ Non-commutative crepant resolutions for some toric singularities. II ⋮ Smooth quotients of abelian varieties by finite groups ⋮ Categorical measures for finite group actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Gluing stability conditions
• Equivariant sheaves on flag varieties
• Intersection cohomology complexes on a reductive group
• The six operations for sheaves on Artin stacks. I: Finite coefficients
• The six operations for sheaves on Artin stacks. II: Adic coefficients
• Character sheaves. V
• La conjecture de Weil. II
• Green polynomials and singularities of unipotent classes
• Symmetric functions, conjugacy classes and the flag variety
• Higher equivariant \(K\)-theory for finite group actions
• Infinitesimal computations in topology
• A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
• On the cyclic homology of exact categories
• Equivariant sheaves and functors
• Equivariant cohomology, Koszul duality, and the localization theorem
• Additive invariants of orbifolds
• Formality for the nilpotent cone and a derived Springer correspondence
• An algebro-geometric realization of equivariant cohomology of some Springer fibers
• Representations of rational Cherednik algebras with minimal support and torus knots.
• Derived representation schemes and cyclic homology
• Minimal models, GT-action and formality of the little disk operad
• Homotopical algebra
• On dominance and varieties of commuting matrices
• Equivariant \(K\)-theory and completion
• Théorie de Hodge. III
• On triangulated orbit categories
• A homological study of Green polynomials
• Parity sheaves
• On the Krull-Schmidt theorem with application to sheaves
• Sheaves on Artin stacks
• On the Spectrum of the Equivariant Cohomology Ring
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• Remarks on generators and dimensions of triangulated categories
• Normalizers of Parabolic Subgroups of Reflection Groups
• Differential forms on quotients by reductive group actions
• Deriving DG categories
• Homological algebra of homotopy algebras
• Orbifold Cohomology as Periodic Cyclic Homology
• Derived 𝑙-adic categories for algebraic stacks
• Kostka systems and exotic t-structures for reflection groups
• Categorical measures for finite group actions
• $\mathbb{P}$-functor versions of the Nakajima operators