1999/02/04 by Ronald Fintushel, Ronald J. Stern, Fintushel, Ronald +1
Mathematics · #Algebraic Geometry and Number Theory #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #math.SG #msc:57R40
paper · pdf · doi:10.48550/arxiv.math/9902028
16 pages; this corrected version will appear in the Journal of Differential Geometry
arxiv created 1999/10/08 · arxiv updated 2009/11/30
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.