Equivariant localization and completion in cyclic homology and derived loop spaces

DOI10.1016/j.aim.2020.107005zbMath1441.14061arXiv1708.06079OpenAlexW3004813145MaRDI QIDQ2302232

Harrison Chen

Publication date: 25 February 2020

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

Full work available at URL: https://arxiv.org/abs/1708.06079

zbMATH Keywords

cyclic homologyHochschild homologyequivariant localization

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Loop spaces (55P35) (K)-theory and homology; cyclic homology and cohomology (19D55) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Generalizations (algebraic spaces, stacks) (14A20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (1)

Coherent Springer theory and the categorical Deligne-Langlands correspondence

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On some finiteness questions for algebraic stacks
• Loop spaces and representations
• Derived algebraic geometry
• Homotopical algebraic geometry. I: Topos theory
• Co-periodic cyclic homology
• The homotopy theory of dg-categories and derived Morita theory
• Cyclic homology and equivariant homology
• Lefschetz-Riemann-Roch theorem and coherent trace formula
• Equivariant algebraic vs. topological K-homology Atiyah-Segal-style
• On a theorem of Pittie
• Equivariant cohomology, Koszul duality, and the localization theorem
• Factorization homology. I: Higher categories
• On topological cyclic homology
• Formality of derived intersections and the orbifold HKR isomorphism
• The global decomposition theorem for Hochschild (co-)homology of singular spaces via the Atiyah-Chern character
• Affine stacks
• Equivariant \(K\)-theory and completion
• Derived quot schemes
• DG Indschemes
• Loop spaces and connections
• The pro-\'etale topology for schemes
• Integral transforms and Drinfeld centers in derived algebraic geometry
• Ind-coherent complexes on loop spaces and connections
• Remarks on topological algebras
• Representation Theory and Complex Geometry
• On the Classification of Topological Field Theories
• Equivariant cyclic homology and equivariant differential forms
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
• On the De Rham cohomology of algebraic varieties

This page was built for publication: Equivariant localization and completion in cyclic homology and derived loop spaces