Realizing homology classses by symplectic submanifolds

Hông Vân Lê

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Submission date: 23. Sep. 2004 (revised version: September 2006)
Pages: 13
published in: Trudy seminara po vektornomu i tenzornomu analizu s ich prilozenijami k geometrii, mechanike i fizike, 26 (2005), p. 168-177 
Bibtex
MSC-Numbers: 53D05
Keywords and phrases: homology, symplectic submanifold
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Abstract:
In this note we prove that a positive multiple of each even-dimensional integral homology class in a compact symplectic manifold can be represented as the difference of the fundamental classes of two symplectic submanifolds.