Seifert fibered homology spheres with trivial Heegaard Floer homology

Eaman Eftekhary

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arXiv · 0909.3975

Seifert fibered homology spheres with trivial Heegaard Floer homology

Eaman Eftekhary

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Abstract

We show that among Seifert fibered integer homology spheres, Poincare sphere (with either orientation) is the only non-trivial example which has trivial Heegaard Floer homology. Together with an earlier result, this shows that if an integer homology sphere has trivial Heegaard Floer homology, then it is a connected sum of a number of Poincare spheres and hyperbolic homology spheres.

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BibTeX RIS

Eaman Eftekhary. 2009-09-22. Seifert fibered homology spheres with trivial Heegaard Floer homology. https://arxiv.org/abs/0909.3975

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