Nonseparating spheres and twisted Heegaard Floer homology

Yi Ni

doi:10.2140/agt.2013.13.1143

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Home > Journals > Algebr. Geom. Topol. > Volume 13 > Issue 2 > Article

2013 Nonseparating spheres and twisted Heegaard Floer homology

Yi Ni

Algebr. Geom. Topol. 13(2): 1143-1159 (2013). DOI: 10.2140/agt.2013.13.1143

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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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Yi Ni. "Nonseparating spheres and twisted Heegaard Floer homology." Algebr. Geom. Topol. 13 (2) 1143 - 1159, 2013. https://doi.org/10.2140/agt.2013.13.1143