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arXiv · 1803.10453

Symplectic cohomologies and deformations

Nicoletta Tardini·Adriano Tomassini
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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.

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Nicoletta Tardini, Adriano Tomassini. 2018-03-28. Symplectic cohomologies and deformations. https://doi.org/10.1007/s40574-018-0175-z

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