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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
61/2004

Realizing homology classses by symplectic submanifolds

Hông Vân Lê

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.

Received:
Sep 23, 2004
Published:
Sep 23, 2004
MSC Codes:
53D05
Keywords:
homology, symplectic submanifold

Related publications

inJournal
2005 Repository Open Access
Hông Vân Lê

Realizing homology classses by symplectic submanifolds

In: Trudy seminara po vektornomu i tenzornomu analizu s ich prilozenijami k geometrii, mechanike i fizike, 26 (2005), pp. 168-177