Homologous non-isotopic symplectic tori in a K3-surface

dc.creatorEtgü, Tolga
dc.creatorPark, B. Doug
dc.date2003-05-14
dc.date2003-07-14
dc.date.accessioned2026-07-07T06:25:59Z
dc.date.available2026-07-07T06:25:59Z
dc.descriptionFor each member of an infinite family of homology classes in the K3-surface E(2), we construct infinitely many non-isotopic symplectic tori representing this homology class. This family has an infinite subset of primitive classes. We also explain how these tori can be non-isotopically embedded as homologous symplectic submanifolds in many other symplectic 4-manifolds including the elliptic surfaces E(n) for n>2.
dc.description15 pages, 9 figures; v2: extended the main theorem, gave a second construction of symplectic tori, added a figure, added/updated references, minor changes in figures
dc.identifierhttps://arxiv.org/abs/math/0305201
dc.identifierhttp://arxiv.org/abs/math/0305201
dc.identifierCommun. Contemp. Math. 7 (2005), 325-340
dc.identifierdoi:10.1142/S021919970500174X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96987
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R17, 57R57 (Primary) 53D35, 57R95 (Secondary)
dc.titleHomologous non-isotopic symplectic tori in a K3-surface
dc.typetext

Files

Collections