Variants of equivariant Seiberg-Witten Floer homology

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dc.creatorMarcolli, Matilde
dc.creatorWang, Bai-Ling
dc.date2002-11-15
dc.date.accessioned2026-07-07T04:52:58Z
dc.date.available2026-07-07T04:52:58Z
dc.descriptionFor a rational homology 3-sphere $Y$ with a $\spinc$ structure $\s$, we show that simple algebraic manipulations of our construction of equivariant Seiberg-Witten Floer homology lead to a collection of variants which are topological invariants. We establish exact sequences relating them, we show that they satisfy a duality under orientation reversal, and we explain their relation to ou previous construction of equivariant Seiberg-Witten Floer (co)homologies. We conjecture the equivalence of these versions of equivariant Seiberg-Witten Floer homology with the Heegaard Floer invariants introduced by Ozsváth and Szabó.
dc.descriptionLaTeX 18 pages
dc.identifierhttps://arxiv.org/abs/math/0211238
dc.identifierhttp://arxiv.org/abs/math/0211238
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65669
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R58, 57R57, 58J10
dc.titleVariants of equivariant Seiberg-Witten Floer homology
dc.typetext

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