Exact triangles in monopole homology and the Casson-Walker invariant

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dc.creatorMarcolli, Matilde
dc.creatorWang, Bai-Ling
dc.date2001-01-16
dc.date.accessioned2026-07-07T04:39:40Z
dc.date.available2026-07-07T04:39:40Z
dc.descriptionWe establish the exact triangle in Seiberg-Witten-Floer theory relating the monopoloe homologies of any two closed 3-manifolds which are obtained from each other by $\pm 1$-surgery. We also show that the sum of the modified version of the Seiberg-Witten invariants for any closed rational homology 3-sphere $Y$ over all $Spin^c$ structures equals to $\frac 12 |H_1(Y, \Z)| λ(Y)$ where $λ(Y)$ is the Casson-Walker invariant.
dc.description35 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0101127
dc.identifierhttp://arxiv.org/abs/math/0101127
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60761
dc.subjectGeometric Topology
dc.subject57R58, 57R57, 57M27
dc.titleExact triangles in monopole homology and the Casson-Walker invariant
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