Seifert fibered homology spheres with trivial Heegaard Floer homology

Details Seifert fibered homology spheres with trivial Heegaard Floer homology Seifert fibered homology spheres with trivial Heegaard Floer homology

2009-09-22

arxiv.org/abs/0909.3975v1

Mathematics

Geometric Topology

Scientific paper

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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