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

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.

21 pages, no figures; v2. exposition greatly improved

References in corpus (2)

• Non-formal compact manifolds with small Betti numbers
• Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $4k-1$ and more