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Homologous non-isotopic symplectic tori in a K3 surface

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Park, B.D.

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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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 American Mathematical Society (AMS)

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Communications in Contemporary Mathematics

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10.1142/S021919970500174X

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