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arXiv:0807.2326 [math.GT]AbstractReferencesReviewsResources

Floer homology and existence of incompressible tori in homology spheres

Eaman Eftekhary

Published 2008-07-15, updated 2013-11-05Version 2

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.

Comments: This paper has been withdrawn by the author.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
Categories: math.GT, math.AT
Subjects: 57M27, 57R58
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