Some Technical Aspects of Factorization Algebras on Manifolds

DOI10.1007/978-981-15-1588-0_13zbMath1466.55004OpenAlexW3011857148MaRDI QIDQ5126364

Takuo Matsuoka

Publication date: 16 October 2020

Published in: Bousfield Classes and Ohkawa's Theorem (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-1588-0_13

zbMATH Keywords

surveytopological chiral homologyhomotopical algebrafactorization algebra\(E_n\)-algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Quantum field theory; related classical field theories (81T99) Topological quantum field theories (aspects of differential topology) (57R56) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Algebraic topology on manifolds and differential topology (57R19) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) ((infty,1))-categories (quasi-categories, Segal spaces, etc.); (infty)-topoi, stable (infty)-categories (18N60) (infty)-operads and higher algebra (18N70)

Related Items (2)

From Ohkawa to Strong Generation via Approximable Triangulated Categories—A Variation on the Theme of Amnon Neeman’s Nagoya Lecture Series ⋮ Koszul Duality for $$E_n$$-Algebras in a Filtered Category

Cites Work

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• Tensor product of operads and iterated loop spaces
• Operads and motives in deformation quantization
• Homotopy invariant algebraic structures on topological spaces
• Higher Hochschild homology, topological chiral homology and factorization algebras
• Factorization Algebras in Quantum Field Theory
• Factorization homology of topological manifolds
• Notes on Factorization Algebras, Factorization Homology and Applications
• Descent properties of the topological chiral homology

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