Quantum cohomology as a deformation of symplectic cohomology (Q6601759)

Let \((M,\omega)\) be a compact symplectic manifold satisfying the monotonicity condition \[2\kappa c_1(TM) = [\omega] \in H^2(M;\mathbb{R})\] for some \(\kappa >0\). The authors prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the symplectic cohomology of the complement of a simple crossings symplectic divisor. The authors also prove rigidity results for the skeleton of the divisor complement.\N\NFor the entire collection see [Zbl 1515.53004].