Homologous Non-isotopic Symplectic Tori in a K3-surface

  title={Homologous Non-isotopic Symplectic Tori in a K3-surface},
  author={D L Park},
Abstract. For each member of an infinite family of homology classes in the K3–surface E(2), we construct infinitely many non-isotopic symplectic tori representing this homology class. This family has an infinite subset of primitive classes. We also explain how these tori can be non-isotopically embedded as homologous symplectic submanifolds in many other symplectic 4-manifolds including the elliptic surfaces E(n) for n > 2. 


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