2014/03/18 by Julian V. S. Holstein
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Cohomology #Combinatorics #Computer science #Constant (computer programming) #De Rham cohomology #Equivariant cohomology #Group cohomology #Homotopy and Cohomology in Algebraic Topology #Loop (graph theory) #Loop space #Mathematics #Morita therapy #Pure mathematics #Space (punctuation) #Topology (electrical circuits) #math.AT #math.CT
paper · pdf · doi:10.1017/s0305004114000516
published as Mathematical Proceedings of the Cambridge Philosophical Society, Volume 158, Issue 1 (2015), pages 1-26 · 33 pages
arxiv created 2014/03/18 · openalex publication_date 2014/12/05 · arxiv updated 2019/07/16 · openalex created_date 2020/07/02 · openalex updated_date 2026/08/05
Abstract We consider two categorifications of the cohomology of a topological space X by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space of X .