Dehn surgeries and negative-definite four-manifolds
classification
🧮 math.GT
keywords
dehnfour-manifoldsinvariantnegative-definitesurgeriesaddressanswerbound
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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.
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