Non-separating spheres and twisted Heegaard Floer homology
classification
🧮 math.GT
keywords
floerheegaardhomologyknotsnon-separatingresultstwistedallows
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If a 3--manifold $Y$ contains a non-separating 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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