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arxiv: 1005.1157 · v3 · pith:ZFDW45UOnew · submitted 2010-05-07 · 🧮 math.SG · math.GT

Cohomologically symplectic solvmanifolds are symplectic

classification 🧮 math.SG math.GT
keywords symplecticcohomologicallymanifoldssolvmanifoldsasphericalbauesconsiderconstructed
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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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