English

A finite set of local moves for Kirby calculus

Geometric Topology 2015-03-18 v2

Abstract

We exhibit a finite set of local moves that connect any two surgery presentations of the same 3-manifold via framed links in the three-sphere. The moves are handle-slides and blow-downs/ups of a particular simple kind.

Keywords

Cite

@article{arxiv.1102.1288,
  title  = {A finite set of local moves for Kirby calculus},
  author = {Bruno Martelli},
  journal= {arXiv preprint arXiv:1102.1288},
  year   = {2015}
}

Comments

5 pages, 9 figures, minor changes following referee's suggestions