Monopoles and lens space surgeries

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dc.creatorKronheimer, Peter
dc.creatorMrowka, Tomasz
dc.creatorOzsvath, Peter
dc.creatorSzabo, Zoltan
dc.date2003-10-13
dc.date2004-02-04
dc.date.accessioned2026-07-07T05:01:48Z
dc.date.available2026-07-07T05:01:48Z
dc.descriptionMonopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we use a surgery long exact sequence for monopole Floer homology, together with a non-vanishing theorem, which shows that monopole Floer homology detects the unknot. In addition, we apply these techniques to give information about knots which admit lens space surgeries, and to exhibit families of three-manifolds which do not admit taut foliations.
dc.descriptionCorrected typeos and references
dc.identifierhttps://arxiv.org/abs/math/0310164
dc.identifierhttp://arxiv.org/abs/math/0310164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68817
dc.subjectGeometric Topology
dc.subjectSymplectic Geometry
dc.subject57R58; 57M25
dc.titleMonopoles and lens space surgeries
dc.typetext

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