In this note we study the behavior of symplectic cohomology groups under symplectic deformations. Moreover, we show that for compact almost-Kähler manifolds (X, J, g, ω) with JC∞-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.
Symplectic cohomologies and deformations / Tardini, N.; Tomassini, A.. - In: BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA. - ISSN 1972-6724. - 12:1-2(2019), pp. 221-237. [10.1007/s40574-018-0175-z]
Symplectic cohomologies and deformations
Tardini N.;Tomassini A.
2019-01-01
Abstract
In this note we study the behavior of symplectic cohomology groups under symplectic deformations. Moreover, we show that for compact almost-Kähler manifolds (X, J, g, ω) with JC∞-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.File in questo prodotto:
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