Nonseparating spheres and twisted heegaard floer homology

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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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APA

Ni, Y. (2013). Nonseparating spheres and twisted heegaard floer homology. Algebraic and Geometric Topology, 13(2), 1143–1159. https://doi.org/10.2140/agt.2013.13.1143

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