Symplectic surfaces and generic J-holomorphic structures on 4-manifolds

dc.creatorJabuka, Stanislav
dc.date2002-07-04
dc.date2004-02-12
dc.date.accessioned2026-07-07T04:49:33Z
dc.date.available2026-07-07T04:49:33Z
dc.descriptionIt is a well known fact that every embedded symplectic surface $Σ$ in a symplectic 4-manifold $(X^4,ω)$ can be made $J$-holomorphic for some almost-complex structure $J$ compatible with $ω$. In this paper we investigate when such a $J$ can be chosen from a generic set of almost-complex structures. As an application we give examples of smooth and non-empty Seiberg-Witten and Gromov-Witten moduli spaces whose associated invariants are zero.
dc.descriptionMinor changes were made upon referee's suggestion. Updated references. To be published in Illinois J. Math
dc.identifierhttps://arxiv.org/abs/math/0207052
dc.identifierhttp://arxiv.org/abs/math/0207052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64463
dc.subjectSymplectic Geometry
dc.subject32Q65; 53D50
dc.titleSymplectic surfaces and generic J-holomorphic structures on 4-manifolds
dc.typetext

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