Let $(X,\omega )$ be a compact Kähler manifold. We prove that all Monge–Ampère capacities are comparable. Using this we give direct proof of the integration by parts formula for non-pluripolar products recently proved M. Xia.

Abstract We present recursive formulas that compute the recently defined “higher symplectic capacities” for all convex toric domains. In special case of four-dimensional ellipsoids, we apply homological perturbation theory to associated filtered $\mathcal{L}_\infty $ algebras and prove resulting structure coefficients count punctured pseudoholomorphic curves in cobordisms between ellipsoids. As...

Iran’s Revolution has been to date analyzed with a variety of theories, but the gap in the presentation of a native theory for its analysis has been always felt. Given the significance of this subject, the present paper attempts to shed some light on the capacities and position of transcendent philosophy in the analysis of the Islamic Revolution of Iran. In doing so, an attempt was made to theo...