Biquotients with singly generated rational cohomology
Differential Geometry
2017-06-27 v2 Algebraic Topology
Abstract
We classify all biquotients whose rational cohomology rings are generated by one element. As a consequence we show that the Gromoll-Meyer 7-sphere is the only exotic sphere which can be written as a biquotient.
Cite
@article{arxiv.math/0210231,
title = {Biquotients with singly generated rational cohomology},
author = {Vitali Kapovitch and Wolfgang Ziller},
journal= {arXiv preprint arXiv:math/0210231},
year = {2017}
}
Comments
A missing homogeneous example added in Theorem A, as was pointed out by Jason DeVito