Symplectic nilmanifolds with a symplectic non-free $Z_3$-action
Symplectic Geometry
2007-05-23 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.math/0506452,
title = {Symplectic nilmanifolds with a symplectic non-free $Z_3$-action},
author = {Marisa Fernández and Vicente Muñoz},
journal= {arXiv preprint arXiv:math/0506452},
year = {2007}
}
Comments
21 pages, no figures; v2. exposition greatly improved