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Transactions of the American Mathematical Society

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Non-isotopic symplectic tori in the same homology class

Authors: Tolga Etgü and B. Doug Park
Translated by:
Journal: Trans. Amer. Math. Soc. 356 (2004), 3739-3750
MSC (2000): Primary 57R17, 57R57; Secondary 53D35, 57R95
Published electronically: December 15, 2003
MathSciNet review: 2055752
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Abstract: 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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Additional Information

Tolga Etgü
Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1

B. Doug Park
Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

Received by editor(s): December 13, 2002
Received by editor(s) in revised form: June 6, 2003
Published electronically: December 15, 2003
Additional Notes: The second author was partially supported by an NSERC research grant.
Article copyright: © Copyright 2003 American Mathematical Society

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