Fukaya Floer homology of $Σ\times S^1$ and applications

dc.creatorMuñoz, Vicente
dc.date1998-04-17
dc.date1999-06-02
dc.date.accessioned2026-07-07T05:24:25Z
dc.date.available2026-07-07T05:24:25Z
dc.descriptionWe determine the Fukaya Floer homology of the three-manifold which is the product of a Riemann surface of genus $g\geq 1$ times the circle. This sets up the groundwork for finding the structure of the Donaldson invariants of four-manifolds not of simple type in the future. We give the following applications: 1) We show that every four-manifold with $b^+>1$ is of finite type. 2) Some results relevant to Donaldson invariants of connected sums along surfaces. 3) We find the invariants of the product of two Riemann surfaces both of genus greater or equal than one.
dc.description35 pages, no figures; references updated, mistake in section 5 corrected
dc.identifierhttps://arxiv.org/abs/math/9804081
dc.identifierhttp://arxiv.org/abs/math/9804081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76834
dc.subjectDifferential Geometry
dc.subject58D27; 57R57
dc.titleFukaya Floer homology of $Σ\times S^1$ and applications
dc.typetext

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