2013/04/20 by Søren Galatius, Soren Galatius, Oscar Randal-Williams +3
Mathematics · #55P47 #57R20 #57R22 #57R65 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P47 #msc:57R20 #msc:57R22 #msc:57R65
paper · pdf · doi:10.48550/arxiv.1304.5571
11 pages
arxiv created 2013/04/20 · openalex publication_date 2013/04/20 · arxiv updated 2013/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We apply our earlier work on the higher-dimensional analogue of the Mumford conjecture to two questions. Inspired by work of Ebert we prove non-triviality of certain characteristic classes of bundles of smooth closed manifolds. Inspired by work of Church-Farb-Thibault and Church-Crossley-Giansiracusa we investigate the dependence of characteristic classes of bundles on characteristic numbers of its fibre, total space and base space.