2012/06/04 by Manuel Amann, Amann, Manuel
Mathematics · #57N65 (Primary) 57T15 #57T20 (Secondary) #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #math.AT #math.DG #msc:57N65 #msc:57T15 #msc:57T20
paper · pdf · doi:10.48550/arxiv.1206.0786
arxiv created 2012/06/04 · arxiv updated 2012/06/06
Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known. In this article we provide several construction principles and characterisations for non-formal homogeneous spaces, which will yield a lot of examples. This will enable us to prove that, from dimension 72 on, such a space can be found in each dimension.