Realizing homology classes by symplectic submanifolds

Details Realizing homology classes by symplectic submanifolds Realizing homology classes by symplectic submanifolds

2005-05-26

arxiv.org/abs/math/0505562v2

Proceeding of seminar on vector and tensor analysis, XXVI, p. 168-177, Moscow University 2005

Mathematics

Symplectic Geometry

11 pages, misprints are corrected

Scientific paper

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 prove the realizability of some
integral homology classes by symplectic submanifolds in $(M^{2n}, \omega)$

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