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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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 | References | Similar Articles | Additional Information

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
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

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03529-3
PII: S 0002-9947(03)03529-3
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