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arxiv: math/0212356 · v1 · submitted 2002-12-27 · 🧮 math.GT · math.SG

Non-isotopic Symplectic Tori in the Same Homology Class

classification 🧮 math.GT math.SG
keywords classhomologysymplecticnon-isotopictoriconstructellipticembedded
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For any pair of integers $n\geq 1$ and $q\geq 2$, we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class $q[F]$ of an elliptic surface E(n), where $[F]$ is the homology class of the fiber. We also show how such families can be non-isotopically and symplectically embedded into a more general class of symplectic 4-manifolds.

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