Symplectic Cohomology and the Stability of J-Anti-Invariant Cohomology

Published 5 Jul 2013 in math.SG | (1307.1513v2)

Abstract: In this paper, we investigate the relationship between J-anti-invariant cohomology of a closed symplectic 4-manifold introduced by T.-J. Li and W. Zhang and new symplectic cohomologies introduced by L.-S. Tseng and S.-T. Yau. We also prove that the dimension of J-anti-invariant cohomology is constant for almost structures J which are compatible with a fixed symplectic form.

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