Seifert fibered homology spheres with trivial Heegaard Floer homology

2009/09/22 by Eaman Eftekhary, Eftekhary, Eaman
Mathematics · #57M27 #57R58 #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #math.GN #math.GT #msc:57M27 #msc:57R58

paper · pdf · doi:10.48550/arxiv.0909.3975

arxiv created 2009/09/22 · arxiv updated 2009/12/01

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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