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Nonseparating spheres and twisted Heegaard Floer homology

Authors
Publisher
Geometry & Topology Publications
Publication Date
Disciplines
  • Medicine

Abstract

If a 3–manifold Y contains a nonseparating sphere, then some twisted Heegaard Floer homology of Y is zero. This simple fact allows us to prove several results about Dehn surgery on knots in such manifolds. Similar results have been proved for knots in L–spaces.

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