Surgery obstructions for knots in integer homology spheres
Abstract
For knot surgery in S3, Heegaard Floer homology provides an obstruction due to Hom--Karakurt--Lidman. We extend this obstruction to all integer homology spheres Y, for both positive and negative 1/m surgeries. This is used to test infinitely many small Seifert fibered examples and hyperbolic examples. Moreover, we deduce a lower bound on the b2(W) of smooth cobordism between a pair of integer homology spheres.
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