Cohomology of Quaternionic Foliations and Orbifolds
Differential Geometry
2025-12-16 v4
Abstract
Starting with a concise review of quaternionic geometry and quaternionic K{\"a}hler manifolds, we define a transversely quaternionic K{\"a}hler foliation. Then we formulate and prove the foliated versions of the now classical results of V.Y. Kraines and A. Fujiki on the cohomology of quaternionic K{\"a}hler manifolds. Finally, as any orbifold can be realized as the leaf space of a suitably defined Riemannian foliation we reformulate our results for quaternionic orbifolds.
Keywords
Cite
@article{arxiv.2202.02733,
title = {Cohomology of Quaternionic Foliations and Orbifolds},
author = {Rouzbeh Mohseni and Robert A. Wolak},
journal= {arXiv preprint arXiv:2202.02733},
year = {2025}
}