Formality of Donaldson submanifolds
Symplectic Geometry
2007-05-23 v3 Algebraic Topology
Abstract
We introduce the concept of s-formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n-1), is formal if and only if M is (n-1)-formal. The formality and the hard Lefschetz property are studied for the symplectic manifolds constructed by Donaldson with asymptotically holomorphic techniques. This study permits us to show an example of a Donaldson symplectic manifold of dimension eight which is formal simply connected and does not satisfy the hard Lefschetz theorem.
Cite
@article{arxiv.math/0211017,
title = {Formality of Donaldson submanifolds},
author = {Marisa Fernández and Vicente Muñoz},
journal= {arXiv preprint arXiv:math/0211017},
year = {2007}
}
Comments
24 pages, no figures, Latex2e; v3. statement of Lemma 2.7 corrected