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Homologous non-isotopic symplectic tori in homotopy rational elliptic surfaces
Published online by Cambridge University Press: 11 January 2006
Abstract
Let $E(1)_K$ denote the homotopy rational elliptic surface corresponding to a knot $K$ in $S^3$ constructed by R. Fintushel and R. J. Stern. We construct an infinite family of homologous non-isotopic symplectic tori representing a primitive 2-dimensional homology class in $E(1)_K$ when $K$ is any nontrivial fibred knot in $S^3$. We also show how these tori can be non-isotopically embedded as homologous symplectic submanifolds in other symplectic 4-manifolds.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 140 , Issue 1 , January 2006 , pp. 71 - 78
- Copyright
- 2006 Cambridge Philosophical Society
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