Published Paper
Inserted: 24 jan 2019
Last Updated: 12 sep 2019
Journal: Boll. Unione Mat. Ital.
Volume: 12
Pages: 221--237
Year: 2019
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 $(X,J,g,\omega)$ with $J$ $\mathcal{C}^\infty$-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.
Tags:
SIR2014-AnHyC