Representing knots by filling Dehn spheres
Geometric Topology
2015-09-04 v1
Abstract
We prove that any knot or link in any 3-manifold can be nicely decomposed (splitted) by a filling Dehn sphere. This has interesting consequences in the study of branched coverings over knots and links. We give an algorithm for computing Johansson diagrams of filling Dehn surfaces out from coverings of 3-manifolds branched over knots or links.
Keywords
Cite
@article{arxiv.1508.06295,
title = {Representing knots by filling Dehn spheres},
author = {Álvaro Lozano Rojo and Rubén Vigara Benito},
journal= {arXiv preprint arXiv:1508.06295},
year = {2015}
}
Comments
9 pages, 10 figures. arXiv admin note: text overlap with arXiv:1404.1657