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arxiv: math/0305201 · v2 · submitted 2003-05-14 · 🧮 math.GT · math.SG

Homologous non-isotopic symplectic tori in a K3-surface

classification 🧮 math.GT math.SG
keywords symplectictoriclassesfamilyhomologoushomologyinfinitek3-surface
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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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