paper

On deformations of compact foliations

arXiv:1807.10748 · doi:10.1090/proc/14567

Abstract

We combine classic stability results for foliations with recent results on deformations of Lie groupoids and Lie algebroids to provide a cohomological characterization for rigidity of compact foliations on compact manifolds.

6 pages; The cohomological proof of the main result has been rewritten and corrected. Final version accepted for publication in Proceedings of the American Mathematical Society