Remarks on some compact symplectic solvmanifolds

2020/09/18 by Tan, Qiang, Tomassini, Adriano
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.08642

Abstract

We study the hard Lefschetz property on compact symplectic solvmanifolds, i.e., compact quotients M=Γ\backslash G of a simply-connected solvable Lie group G by a lattice Γ, admitting a symplectic structure.

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• Tamed symplectic structures on compact solvmanifolds of completely solvable type
• Symplectic solvmanifolds not satisfying the hard-Lefschetz condition
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