Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces

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dc.creatorFinashin, Sergey
dc.date2004-01-26
dc.date2005-07-14
dc.date.accessioned2026-07-07T05:04:51Z
dc.date.available2026-07-07T05:04:51Z
dc.descriptionWe study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their fiber sums with auxiliary Lefschetz fibrations. Such invariants involve relative Spin_c structures and can be treated as refinements of the usual Seiberg-Witten and Ozsvath-Szabo invariants. We prove for instance the adjunction inequality for membranes, which estimates their genus.
dc.description18 pages, 1 figure, editing: a few improvements, more detailed proofs in section 3
dc.identifierhttps://arxiv.org/abs/math/0401345
dc.identifierhttp://arxiv.org/abs/math/0401345
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69964
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57M
dc.titleRelative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces
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