1995/02/14 by Dennis Gaitsgory, D. Gaitsgory, Gaitsgory, D. · 1 citation
Mathematics · Medicine · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Cancer Treatment and Pharmacology #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9502010
13 pages, AmsTeX
openalex publication_date 1995/02/14 · arxiv created 1995/02/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The idea of the work is to find an invariant way to pass from deformation theory to cohomology, which does not use any explicit cocycles. The appropriate cohomology theory is based on considering sheaves on a certain site. An advantage of the approach is that it enables one to give a simultanious treatement to all types of algebras. As an application, we prove the PBW theorem in cases where it is not yet known.