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Surgery obstructions and Heegaard Floer homology (1408.1508v1)
Published 7 Aug 2014 in math.GT
Abstract: Using Taubes' periodic ends theorem, Auckly gave examples of toroidal and hyperbolic irreducible integer homology spheres which are not surgery on a knot in the three-sphere. We give an obstruction to a homology sphere being surgery on a knot coming from Heegaard Floer homology. This is used to construct infinitely many small Seifert fibered examples.
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