English

Symplectic surfaces in a fixed homology class

Symplectic Geometry 2007-05-23 v3 Differential Geometry

Abstract

The purpose of this paper is to investigate the following problem: For a fixed 2-dimensional homology class K in a simply connected symplectic 4-manifold, up to smooth isotopy, how many connected smoothly embedded symplectic submanifolds represent K? We show that when K can be represented by a symplectic torus, there are many instances when K can be representated by infinitely many non-isotopic symplectic tori.

Keywords

Cite

@article{arxiv.math/9902028,
  title  = {Symplectic surfaces in a fixed homology class},
  author = {Ronald Fintushel and Ronald J. Stern},
  journal= {arXiv preprint arXiv:math/9902028},
  year   = {2007}
}

Comments

16 pages; this corrected version will appear in the Journal of Differential Geometry

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