Monopoles and lens space surgeries

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Monopole 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.
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Geometric Topology, Symplectic Geometry, 57R58; 57M25

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http://salesiana.dossiersoluciones.com/handle/123456789/68817

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310164
 http://arxiv.org/abs/math/0310164

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arXiv