The symplectic Thom conjecture

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dc.creatorOzsváth, Peter
dc.creatorSzabó, Zoltán
dc.date1998-11-13
dc.date2000-01-01
dc.date.accessioned2026-07-07T05:26:51Z
dc.date.available2026-07-07T05:26:51Z
dc.descriptionIn this paper, we demonstrate a relation among Seiberg-Witten invariants which arises from embedded surfaces in four-manifolds whose self-intersection number is negative. These relations, together with Taubes' basic theorems on the Seiberg-Witten invariants of symplectic manifolds, are then used to prove the symplectic Thom conjecture: a symplectic surface in a symplectic four-manifold is genus-minimizing in its homology class. Another corollary of the relations is a general adjunction inequality for embedded surfaces of negative self-intersection in four-manifolds.
dc.description32 pages, published version
dc.identifierhttps://arxiv.org/abs/math/9811087
dc.identifierhttp://arxiv.org/abs/math/9811087
dc.identifierAnn. of Math. (2) 151 (2000), no. 1, 93-124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77711
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subject57; 58
dc.titleThe symplectic Thom conjecture
dc.typetext

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