2009/10/09 by Julia E. Bergner, Bergner, Julia E.
Mathematics · Physics and Astronomy · #16S99 #18E30 #18G55 #55U340 #55U35 #Algebra over a field #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Category Theory (math.CT) #FOS: Mathematics #Homotopy #Homotopy and Cohomology in Algebraic Topology #Mathematics #Physics #Pure mathematics #Quantum Algebra (math.QA) #Theoretical physics #math.AT #math.CT #math.QA #msc:16S99 #msc:18E30 #msc:18G55 #msc:55U340 #msc:55U35
paper · pdf · doi:10.48550/arxiv.0910.1861
18 pages; minor revisions made
openalex publication_date 2009/10/09 · arxiv created 2012/04/24 · arxiv updated 2012/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we extend Toën's derived Hall algebra construction, in which he obtains unital associative algebras from certain stable model categories, to one in which such algebras are obtained from more general stable homotopy theories, in particular stable complete Segal spaces satisfying appropriate finiteness assumptions.