Realizing homology classes by symplectic submanifolds

Abstract

In this note we prove that a positive multiple of each even-dimensional integral homology class of a compact symplectic manifold $(M^{2n},\omega )$ can be represented as the difference of the fundamental classes of two symplectic submanifolds in $(M^{2n},\omega )$. We also discuss the realizability of integral homology classes by symplectic surfaces in $(M^{2n},\omega )$.

10 pages, final version

Cited by in corpus (1)

• Representing homology classes by symplectic surfaces