Equivariant Hodge theory and noncommutative geometry

DOI10.2140/gt.2020.24.2361zbMath1460.14005arXiv1507.01924OpenAlexW3119467032MaRDI QIDQ2224531

Daniel Halpern-Leistner, Daniel Pomerleano

Publication date: 4 February 2021

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01924

zbMATH Keywords

non-commutative geometry\(K\)-theoryHochschild homologyHodge structuresequivariant topological \(K\)-theoryHodge-de Rham spectral sequenceequivariant Hodge theory

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) (K)-theory and homology; cyclic homology and cohomology (19D55) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Equivariant (K)-theory (19L47)

Related Items (8)

CATEGORICAL AND K-THEORETIC HALL ALGEBRAS FOR QUIVERS WITH POTENTIAL ⋮ A maximally-graded invertible cubic threefold that does not admit a full exceptional collection of line bundles ⋮ Combinatorial constructions of derived equivalences ⋮ Categorical Saito theory. II: Landau-Ginzburg orbifolds ⋮ Geometricity for derived categories of algebraic stacks ⋮ Generators for Hall algebras of surfaces ⋮ Generators for Hall algebras of surfaces ⋮ On the \(L^2\)-Hodge theory of Landau-Ginzburg models

Cites Work

• Unnamed Item
• On some finiteness questions for algebraic stacks
• Curved \(A_\infty\) algebras and Landau-Ginzburg models
• The closed state space of affine Landau-Ginzburg B-models
• Matrix factorizations for nonaffine LG-models
• Homotopy types of topological stacks
• Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models
• Compact generators in categories of matrix factorizations
• Geometricity for derived categories of algebraic stacks
• Asymptotic of the solution of a nonlinear equation in the neighborhood of an angular point of the boundary
• Period mapping associated to a primitive form
• Riemann-Roch for algebraic versus topological K-theory
• Nonabelian Hodge theory in characteristic \(p\)
• Higher \(K\)-theory via universal invariants
• Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie
• Partial desingularisations of quotients of nonsingular varieties and their Betti numbers
• Equivariant stable homotopy theory. With contributions by J. E. McClure
• Equivariant algebraic vs. topological K-homology Atiyah-Segal-style
• The quantization conjecture revisited
• Integral transforms for coherent sheaves
• Riemann-Roch theorems for Deligne-Mumford stacks
• de Rham theory for tame stacks and schemes with linearly reductive singularities
• A universal characterization of higher algebraic \(K\)-theory
• Coherent analogues of matrix factorizations and relative singularity categories
• Global matrix factorizations
• Equivariant K-theory
• Equivariant \(K\)-theory and completion
• Rings with several objects
• Théorie de Hodge. III
• On proper coverings of Artin stacks
• Topological K-theory of complex noncommutative spaces
• Étale motives
• Derived Knörrer periodicity and Orlov’s theorem for gauged Landau–Ginzburg models
• Integral transforms and Drinfeld centers in derived algebraic geometry
• Algebraic Cobordism
• Notes on A∞-Algebras, A∞-Categories and Non-Commutative Geometry
• A Stratification of the Null Cone Via the Moment Map
• Uniform instability in reductive groups.
• Equivariant cyclic homology and equivariant differential forms
• Orbifold Cohomology as Periodic Cyclic Homology
• Motivic realizations of singularity categories and vanishing cycles
• Perfect complexes on algebraic stacks
• Cyclic Homology of Categories of Matrix Factorizations
• The derived category of a GIT quotient
• Equivalence of the Derived Category of a Variety with a Singularity Category
• Functorial destackification of tame stacks with abelian stabilisers
• Non-commutative Hodge structures: Towards matching categorical and geometric examples
• Twisted equivariantK-theory with complex coefficients
• \(\mathbb{A}^1\)-homotopy theory of schemes
• The special McKay correspondence and exceptional collections

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