Cohomologically symplectic solvmanifolds are symplectic

Details Cohomologically symplectic solvmanifolds are symplectic Cohomologically symplectic solvmanifolds are symplectic

2010-05-07

arxiv.org/abs/1005.1157v3

J. Sympl. Geom. 4 (2011), 429-434

Mathematics

Symplectic Geometry

5 pages

Scientific paper

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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