English

Unlinking information from 4-manifolds

Geometric Topology 2017-05-17 v2

Abstract

We generalise theorems of Cochran-Lickorish and Owens-Strle to the case of links with more than one component. This enables the use of linking forms on double branched covers, Heegaard Floer correction terms, and Donaldson's diagonalisation theorem to complete the table of unlinking numbers for nonsplit prime links with crossing number nine or less.

Keywords

Cite

@article{arxiv.1503.03092,
  title  = {Unlinking information from 4-manifolds},
  author = {Matthias Nagel and Brendan Owens},
  journal= {arXiv preprint arXiv:1503.03092},
  year   = {2017}
}

Comments

18 pages, 2 figures. V2: Improved exposition incorporating referee's suggestions. Accepted for publication in Bull. London Math. Soc

R2 v1 2026-06-22T08:49:20.844Z