Homologous Non-isotopic Symplectic Tori in Homotopy Rational Elliptic Surfaces

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dc.creatorEtgü, Tolga
dc.creatorPark, B. Doug
dc.date2003-07-02
dc.date.accessioned2026-07-07T06:25:59Z
dc.date.available2026-07-07T06:25:59Z
dc.descriptionLet E(1)_K denote the closed 4-manifold that is homotopy equivalent (hence homeomorphic) to the rational elliptic surface E(1) and is obtained by performing Fintushel-Stern knot surgery on E(1) using a knot K in S^3. We construct an infinite family of homologous non-isotopic symplectic tori representing a primitive 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.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0307029
dc.identifierhttp://arxiv.org/abs/math/0307029
dc.identifierMath. Proc. Cambridge Philos. Soc. 140 (2006), 71-78
dc.identifierdoi:10.1017/S0305004105008790
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96988
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R17, 57R57 (Primary) 53D35, 57R95
dc.titleHomologous Non-isotopic Symplectic Tori in Homotopy Rational Elliptic Surfaces
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