Geodesic
Nonseparating spheres and twisted Heegaard Floer homology
Ni, Yi1
1Department of Mathematics, 253-37, California Institute of Technology, 251 Sloan Hall, 1200 E California Blvd, Pasadena, CA 91125, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 2, pp. 1143-1159
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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.

DOI : 10.2140/agt.2013.13.1143
Classification : 57M27, 57R58
Keywords: twisted Heegaard Floer homology, nonseparating sphere, Thurston norm, fibered knot, cosmetic surgery

Ni, Yi  1

1 Department of Mathematics, 253-37, California Institute of Technology, 251 Sloan Hall, 1200 E California Blvd, Pasadena, CA 91125, USA 
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Ni, Yi. Nonseparating spheres and twisted Heegaard Floer homology. Algebraic and Geometric Topology, Tome 13 (2013) no. 2, pp. 1143-1159. doi: 10.2140/agt.2013.13.1143

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