Lagrangian Surfaces in a Fixed Homology Class: Existence of Knotted Lagrangian Tori

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dc.creatorVidussi, Stefano
dc.date2003-11-12
dc.date2006-11-14
dc.date.accessioned2026-07-07T06:35:48Z
dc.date.available2026-07-07T06:35:48Z
dc.descriptionIn this paper we show that there exist simply connected symplectic 4-manifolds which contain infinitely many knotted lagrangian tori, i.e. lagrangian embeddings of tori that are homotopic but not isotopic. Moreover, the homology class they represent can be assumed to be nontrivial and primitive. This answers a question of Eliashberg and Polterovich.
dc.descriptionPublished version
dc.identifierhttps://arxiv.org/abs/math/0311174
dc.identifierhttp://arxiv.org/abs/math/0311174
dc.identifierJ. Differential Geom. 74 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99904
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R57 (primary) 57R17 (secondary)
dc.titleLagrangian Surfaces in a Fixed Homology Class: Existence of Knotted Lagrangian Tori
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