English

Dehn surgeries and negative-definite four-manifolds

Geometric Topology 2011-08-25 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1108.4869,
  title  = {Dehn surgeries and negative-definite four-manifolds},
  author = {Brendan Owens and Saso Strle},
  journal= {arXiv preprint arXiv:1108.4869},
  year   = {2011}
}

Comments

16 pages, 5 figures