Cohomologically symplectic solvmanifolds are symplectic
Symplectic Geometry
2012-03-08 v3 Geometric Topology
Abstract
We consider aspherical manifolds with torsion-free virtually polycyclic fundamental groups, constructed by Baues. We prove that if those manifolds are cohomologically symplectic then they are symplectic. As a corollary we show that cohomologically symplectic solvmanifolds are symplectic.
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Cite
@article{arxiv.1005.1157,
title = {Cohomologically symplectic solvmanifolds are symplectic},
author = {Hisashi Kasuya},
journal= {arXiv preprint arXiv:1005.1157},
year = {2012}
}
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5 pages