A Convex decomposition theorem for four-manifolds

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dc.creatorAkbulut, Selman
dc.creatorMatveyev, Rostislav
dc.date2000-10-16
dc.date.accessioned2026-07-07T04:38:05Z
dc.date.available2026-07-07T04:38:05Z
dc.descriptionWe show that every smooth closed oriented four-manifold admits a decomposition into two co- dimension zero submanifolds with common boundary. Each of these submanifolds carries a structure of a symplectic manifold with pseudo-convex boundary. This imply, in particular, that every smooth closed simply-connected four-manifold is a Stein domain in the the complement of a certain contractible 2-complex.
dc.descriptionLaTeX2e, 9 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0010166
dc.identifierhttp://arxiv.org/abs/math/0010166
dc.identifierInternat. Math. Res. Notices 1998, no. 7, 371--381
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60144
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M50; 57R17
dc.titleA Convex decomposition theorem for four-manifolds
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