Dehn surgeries and negative-definite four-manifolds

Details Dehn surgeries and negative-definite four-manifolds Dehn surgeries and negative-definite four-manifolds

2011-08-24

arxiv.org/abs/1108.4869v1

Mathematics

Geometric Topology

16 pages, 5 figures

Scientific paper

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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