Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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N. Tardini - A. Tomassini

Symplectic cohomologies and deformations

created by tardini on 24 Jan 2019
modified on 12 Sep 2019


Published Paper

Inserted: 24 jan 2019
Last Updated: 12 sep 2019

Journal: Boll. Unione Mat. Ital.
Volume: 12
Pages: 221--237
Year: 2019

ArXiv: 1803.10453 PDF


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

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