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Symplectic surfaces in a fixed homology class | | Ronald Fintushel
; Ronald J. Stern
; | | Date: |
4 Feb 1999 | | Subject: | Symplectic Geometry; Differential Geometry MSC-class: 57R40 | math.SG math.DG | | 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. | | Source: | arXiv, math.SG/9902028 | | Services: | Forum | Review | PDF | Favorites | |
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