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.
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