Formality and the Lefschetz property in symplectic and cosymplectic geometry
Symplectic Geometry
2015-04-10 v1 Algebraic Topology
Differential Geometry
Abstract
We review topological properties of K\"ahler and symplectic manifolds, and of their odd-dimensional counterparts, coK\"ahler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the K\"ahler/symplectic situation) and the case (in the coK\"ahler/cosymplectic situation).
Keywords
Cite
@article{arxiv.1504.02451,
title = {Formality and the Lefschetz property in symplectic and cosymplectic geometry},
author = {Giovanni Bazzoni and Marisa Fernández and Vicente Muñoz},
journal= {arXiv preprint arXiv:1504.02451},
year = {2015}
}
Comments
27 pages, no figures. Comments are welcome!