Floer homology and existence of incompressible tori in homology spheres

Abstract

We show that if a prime homology sphere has the same Floer homology as the standard three-sphere, it does not contain any incompressible tori.

arXiv commentThis paper has been withdrawn by the author. The results are based on the (incorrect) splicing formula of the initial version of arXiv:0802.2874. The correct splicing formula gives partial results instead, which will appear in a revision

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