Dehn surgeries and negative-definite four-manifolds
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Given a knot K in the three-sphere, we address the question: Which Dehn surgeries on K bound negative-definite four-manifolds? We show that the answer depends on a number m(K), which is a smooth concordance invariant. We study the properties of this invariant and compute it for torus knots.
KeywordsDehn surgery Smooth negative-definite four-manifold Torus knot Concordance
Mathematics Subject Classification (2000)57M27 57Q60
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