$(\mathbb{RP}^{2n-1},\xi_{std})$ is not exactly fillable for $n\ne 2^k$
Symplectic Geometry
2021-12-11 v2
Abstract
We prove that is not exactly fillable for any and there exist strongly fillable but not exactly fillable contact manifolds for all dimension .
Cite
@article{arxiv.2001.09718,
title = {$(\mathbb{RP}^{2n-1},\xi_{std})$ is not exactly fillable for $n\ne 2^k$},
author = {Zhengyi Zhou},
journal= {arXiv preprint arXiv:2001.09718},
year = {2021}
}
Comments
Revised version with more self-contained expository and more detailed proofs, comments welcome!