Sheaves of 𝐸-infinity algebras and applications to algebraic varieties and singular spaces

DOI10.1090/tran/8569OpenAlexW4235851568MaRDI QIDQ5023571

Joana Cirici, David Chataur

Publication date: 24 January 2022

Full work available at URL: https://arxiv.org/abs/1811.08642

zbMATH Keywords

Steenrod operationsIntersection cohomologyOperadNormalization functor, Weight filtration

Mathematics Subject Classification ID

Mixed Hodge theory of singular varieties (complex-analytic aspects) (32S35) Intersection homology and cohomology in algebraic topology (55N33)

Related Items

Étale cohomology, purity and formality with torsion coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Steenrod squares on intersection cohomology and a conjecture of M. Goresky and W. Pardon
• Boundary complexes and weight filtrations
• Weights on cohomology, invariants of singularities, and dual complexes
• Godement resolutions and sheaf homotopy theory
• The weight filtration for real algebraic varieties. II: Classical homology
• Intersection homology. II
• Intersection homology operations
• Theorème de De Rham pour les variétés stratifiées. (The De Rham theorem for stratified manifolds)
• De Rham intersection cohomology for general perversities
• Intersection spaces, spatial homology truncation, and string theory
• Sur la théorie de Hodge-Deligne. (On the Hodge-Deligne theory)
• Intersection homology theory
• Hyperrésolutions cubiques et descente cohomologique. (La plupart des exposés d'un séminaire sur la théorie de Hodge-Deligne, Barcelona (Spain), 1982)
• The algebraic topology of smooth algebraic varieties
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• An extension criterion for functors defined on smooth schemes
• Mixed motives and their realization in derived categories
• Intersection space constructible complexes
• Blown-up intersection cochains and Deligne's sheaves
• Godement resolution and operad sheaf homotopy theory
• Intersection differential forms
• Cochains and homotopy type
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• The weight filtration for real algebraic varieties
• Higher Divided Squares in Second-Quadrant Spectral Sequences
• Operations and Spectral Sequences. I
• Homological algebra of homotopy algebras
• Cochain multiplications
• Intersection Cohomology. Simplicial Blow-up and Rational Homotopy
• Blown-up intersection cohomology
• Homology of moduli spaces of curves and commutative homotopy algebras
• Descent, motives and K-theory.
• Weight filtration on the cohomology of complex analytic spaces
• Cohomology of generalized configuration spaces
• Simple normal crossing varieties with prescribed dual complex
• Mixed Hodge Structures
• Homology
• Cohomology and products of real weight filtrations