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Symplectic nilmanifolds with a symplectic non-free $Z_3$-action

Marisa Fernández·Vicente Muñoz
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Abstract

This paper expands some of the issues of the paper math.SG/0506449. We introduce a new technique to produce symplectic manifolds, by taking a symplectic non-free action of a finite group on a symplectic manifold and resolving symplectically the singularities of the quotient. We also introduce a new type of Massey product to detect non-formality. This allows to show the first example of a non-formal simply connected compact symplectic manifold of dimension 8.

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BibTeXRIS

Marisa Fernández, Vicente Muñoz. 2006-12-12. Symplectic nilmanifolds with a symplectic non-free $Z_3$-action. https://arxiv.org/abs/math/0506452

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