204 citations · 657 across the 55 of their papers we have counts for
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math.GT2009★ 10 cited
Manifolds with small Heegaard Floer ranks
Matthew Hedden, Yi Ni
We show that the only irreducible three-manifold with positive first Betti number and Heegaard Floer homology of rank two is homeomorphic to zero-framed surgery on the trefoil. We…
math.GT2009★ 10 cited
Non-separating spheres and twisted Heegaard Floer homology
Yi Ni
If a 3--manifold contains a non-separating sphere, then some twisted Heegaard Floer homology of is zero. This simple fact allows us to prove several results about Dehn surg…