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arXiv · 1206.0786

Non-formal Homogeneous Spaces

Manuel Amann
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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.

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Manuel Amann. 2012-06-04. Non-formal Homogeneous Spaces. https://arxiv.org/abs/1206.0786

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