Cubulated moves for 2-knots
Geometric Topology
2017-08-28 v1
Abstract
In this paper, we prove that given two cubical links of dimension two in , they are isotopic if and only if one can pass from one to the other by a finite sequence of cubulated moves. These moves are analogous to the Reidemeister and Roseman moves for classical tame knots of dimension one and two, respectively.
Keywords
Cite
@article{arxiv.1708.07761,
title = {Cubulated moves for 2-knots},
author = {Juan Pablo Díaz and Gabriela Hinojosa and Alberto Verjovsky},
journal= {arXiv preprint arXiv:1708.07761},
year = {2017}
}
Comments
9 figures. arXiv admin note: text overlap with arXiv:1302.2133