Movie moves for singular link cobordisms in 4-dimensional space
Geometric Topology
2016-06-16 v1
Abstract
Two singular links are cobordant if one can be obtained from the other by singular link isotopy together with a combination of births or deaths of simple unknotted curves, and saddle point transformations. A movie description of a singular link cobordism in 4-space is a sequence of singular link diagrams obtained from a projection of the cobordism into 3-space by taking 2-dimensional cross sections perpendicular to a fixed direction. We present a set of movie moves that are sufficient to connect any two movies of isotopic singular link cobordisms.
Keywords
Cite
@article{arxiv.1507.04077,
title = {Movie moves for singular link cobordisms in 4-dimensional space},
author = {Carmen Caprau},
journal= {arXiv preprint arXiv:1507.04077},
year = {2016}
}
Comments
21 pages, lots of figures