Factorization homology and calculus à la Kontsevich Soibelman

2013/07/01 by Geoffroy Horel, Horel, Geoffroy · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Quantum Algebra (math.QA) #math.AT #math.KT #math.QA

paper · pdf · doi:10.48550/arxiv.1307.0322

28 pages

openalex publication_date 2013/07/01 · arxiv created 2015/01/30 · arxiv updated 2015/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using factorization homology techniques, we give a simple proof of the action of Kontsevich and Soibelman operad on the pair consisting of Hochschild cohomology and Hochschild homology. The proof obviously extends to higher Hochschild cohomology and factorization (also called chiral) homology. Note that our result works in categories of chain complexes but also in categories of modules over a commutative ring spectrum.

Citations

• The Homotopy Theory of Simplicially Enriched Multicategories

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