2015/11/03 by Matthias Franz, Santiago López de Medrano, John Malik
Mathematics · #Algebra over a field #Algebraic Geometry and Number Theory #Division (mathematics) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Polygon (computer graphics) #Process (computing) #Real line #Representation (politics) #math.AT #msc:14P25 #msc:17A35 #msc:57R91 #msc:57S25
paper · pdf · doi:10.1007/s40590-016-0128-4
published as Bol. Soc. Mat. Mex. 23 (2017), 511-526 · 14 pages
arxiv created 2015/11/03 · openalex publication_date 2016/05/07 · openalex created_date 2016/06/24 · arxiv updated 2017/05/30 · openalex updated_date 2026/08/05
We show that the mutants of compactified representations constructed by Franz and Puppe can be written as intersections of real quadrics involving division algebras and as generalizations of polygon spaces. We also show that these manifolds are connected sums of products of spheres.