Non-isotopic symplectic tori in the same homology class |
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| Authors: | Tolga Etgü B. Doug Park |
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| Affiliation: | Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1 ; Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
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| Abstract: | For any pair of integers  and  , we construct an infinite family of mutually non-isotopic symplectic tori representing the homology class ![$q[F]$](http://www.ams.org/tran/2004-356-09/S0002-9947-03-03529-3/gif-abstract0/img3.gif) of an elliptic surface  , where ![$[F]$](http://www.ams.org/tran/2004-356-09/S0002-9947-03-03529-3/gif-abstract0/img5.gif) 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  -manifolds. |
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