Nonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces

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dc.creatorVidussi, Stefano
dc.date2004-01-30
dc.date.accessioned2026-07-07T06:25:38Z
dc.date.available2026-07-07T06:25:38Z
dc.descriptionThe purpose of this note is to present a construction of an infinite family of symplectic tori T_{p} representing an arbitrary multiple of the homology class of the fiber of an elliptic surface E(n), for n > 2, such that, for i \neq j, there is no orientation-preserving diffeomorphism between (E(n),T_{i}) and (E(n),T_{j}). In particular, these tori are mutually nonisotopic. This complements previous results of Fintushel and Stern, showing in particular the existence of such phenomenon for a primitive class.
dc.description12 pages, 3 figures. To appear in J. Symplectic Geom
dc.identifierhttps://arxiv.org/abs/math/0402001
dc.identifierhttp://arxiv.org/abs/math/0402001
dc.identifierJ. Symplectic Geom. 2 (2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96882
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R17; 57R57
dc.titleNonisotopic Symplectic Tori in the Fiber Class of Elliptic Surfaces
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