Higher Hochschild homology, topological chiral homology and factorization algebras

DOI10.1007/s00220-014-1889-0zbMath1334.13012arXiv1011.6483OpenAlexW2032613988MaRDI QIDQ2447575

Grégory Ginot, Mahmoud Zeinalian, Thomas Tradler

Publication date: 28 April 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.6483

zbMATH Keywords

topological chiral homologycommutative differential graded algebrashigher Hochschild functor

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items

Weyl \(n\)-algebras and the swiss cheese operad ⋮ Factorization homology of topological manifolds ⋮ Higher-order and secondary Hochschild cohomology ⋮ A trace for bimodule categories ⋮ Simplicial structures over the 3-sphere and generalized higher order Hochschild homology ⋮ The factorization theory of Thom spectra and twisted nonabelian Poincaré duality ⋮ Higher Structures in Algebraic Quantum Field Theory ⋮ Some Technical Aspects of Factorization Algebras on Manifolds ⋮ \(E_n\)-cell attachments and a local-to-global principle for homological stability ⋮ Weyl \(n\)-algebras ⋮ Homotopy theory of algebraic quantum field theories ⋮ Homological stability for topological chiral homology of completions ⋮ A spectrum-level Hodge filtration on topological Hochschild homology ⋮ A topological origin of quantum symmetric pairs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Equivariant holonomy for bundles and abelian gerbes
• Three models for the homotopy theory of homotopy theories
• Calculating simplicial localizations
• \(THH(R) \cong R \otimes S^ 1\) for \(E_ \infty\) ring spectra
• Higher order Hochschild cohomology
• On the cohomology groups of an associative algebra
• On the cohomology theory for associative algebras
• Factorization Algebras in Quantum Field Theory
• A Chen model for mapping spaces and the surface product
• Algèbres simplicialesS¹-équivariantes, théorie de de Rham et théorèmes HKR multiplicatifs
• Factorization homology of topological manifolds
• Complete Segal spaces arising from simplicial categories
• On the Classification of Topological Field Theories
• Chern Character, Loop Spaces and Derived Algebraic Geometry
• Morse Theory. (AM-51)
• Homological algebra of homotopy algebras
• Hodge decomposition for higher order Hochschild homology
• A model for the homotopy theory of homotopy theory
• Combinatorial operad actions on cochains
• The tangent complex and Hochschild cohomology of -rings
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Higher Topos Theory (AM-170)
• Simplicial homotopy theory