Homologous non-isotopic symplectic tori in a K3-surface

Tolga Etgü; B. Doug Park

doi:10.1142/s021919970500174x

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Homologous non-isotopic symplectic tori in a K3-surface

Tolga Etgü·B. Doug Park

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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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Tolga Etgü, B. Doug Park. 2003-07-14. Homologous non-isotopic symplectic tori in a K3-surface. https://doi.org/10.1142/s021919970500174x

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