Surgery formula for Seiberg--Witten invariants of negative definite plumbed 3-manifolds

dc.creatorBraun, Gabor
dc.creatorNemethi, Andras
dc.date2007-04-24
dc.date2008-11-20
dc.date.accessioned2026-07-07T10:19:16Z
dc.date.available2026-07-07T10:19:16Z
dc.descriptionWe derive a cut-and-paste surgery formula of Seiberg--Witten invariants for negative definite plumbed rational homology 3-spheres. It is similar to (and motivated by) Okuma's recursion formula [arXiv:math.AG/0610464, 4.5] targeting analytic invariants of splice quotient singularities. The two formulas combined provide automatically a proof of the equivariant version [arXiv:math.AG/0310084, 5.2(b)] of the `Seiberg--Witten invariant conjecture' [arXiv:math.AG/0111298] for these singularities.
dc.description17 pages, 4 figures, accepted by Journal für die reine und angewandte Mathematik. Minor improvements suggested by referee
dc.identifierhttps://arxiv.org/abs/0704.3145
dc.identifierhttp://arxiv.org/abs/0704.3145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174447
dc.subjectGeometric Topology
dc.subjectAlgebraic Geometry
dc.subject57M27, 57R57; 32C35, 32S05, 32S25, 32S45
dc.titleSurgery formula for Seiberg--Witten invariants of negative definite plumbed 3-manifolds
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