Non-formal Homogeneous Spaces
Algebraic Topology
2012-06-06 v1 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1206.0786,
title = {Non-formal Homogeneous Spaces},
author = {Manuel Amann},
journal= {arXiv preprint arXiv:1206.0786},
year = {2012}
}