Symplectic cohomologies and deformations
Symplectic Geometry
2019-01-25 v1
Abstract
In this note we study the behavior of symplectic cohomology groups under symplectic deformations. Moreover, we show that for compact almost-K\"ahler manifolds with -pure and full the space of de Rham harmonic forms is contained in the space of symplectic-Bott-Chern harmonic forms. Furthermore, we prove that the second non-HLC degree measures the gap between the de Rham and the symplectic-Bott-Chern harmonic forms.
Cite
@article{arxiv.1803.10453,
title = {Symplectic cohomologies and deformations},
author = {Nicoletta Tardini and Adriano Tomassini},
journal= {arXiv preprint arXiv:1803.10453},
year = {2019}
}