Non-isotopic Symplectic Tori in the Same Homology Class

Details Non-isotopic Symplectic Tori in the Same Homology Class Non-isotopic Symplectic Tori in the Same Homology Class

2002-12-27

arxiv.org/abs/math/0212356v1

Trans. Amer. Math. Soc. 356 (2004), no. 9, 3739-3750

Mathematics

Geometric Topology

12 pages, 3 figures

Scientific paper

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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