Non-isotopic symplectic tori in the same homology class
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- by Tolga Etgü and B. Doug Park PDF
- Trans. Amer. Math. Soc. 356 (2004), 3739-3750 Request permission
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.References
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Additional Information
- Tolga Etgü
- Affiliation: Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
- Email: etgut@math.mcmaster.ca
- B. Doug Park
- Affiliation: Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- Email: bdpark@math.uwaterloo.ca
- 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.
- © Copyright 2003 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 3739-3750
- MSC (2000): Primary 57R17, 57R57; Secondary 53D35, 57R95
- DOI: https://doi.org/10.1090/S0002-9947-03-03529-3
- MathSciNet review: 2055752