Minimality and irreducibility of symplectic four-manifolds

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dc.creatorHamilton, M. J. D.
dc.creatorKotschick, D.
dc.date2005-09-09
dc.date2006-01-02
dc.date.accessioned2026-07-07T06:42:59Z
dc.date.available2026-07-07T06:42:59Z
dc.descriptionWe prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces. This leads to a new proof of the deformation-invariance of holomorphic minimality for complex surfaces with even first Betti number which are not Hirzebruch surfaces.
dc.descriptionfinal version; cosmetic changes only; to appear in International Mathematics Research Notices
dc.identifierhttps://arxiv.org/abs/math/0509204
dc.identifierhttp://arxiv.org/abs/math/0509204
dc.identifierInternational Mathematics Research Notices 2006 (2006), Article ID 35032, 13 pages.
dc.identifierdoi:10.1155/IMRN/2006/35032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102247
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.subject57R17; 57R57; 32J15
dc.titleMinimality and irreducibility of symplectic four-manifolds
dc.typetext

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