Regular-equivalence of $2$-knot diagrams and sphere eversions
Geometric Topology
2018-04-11 v1
Abstract
For each diagram of a -knot, we provide a way to construct a new diagram of the same knot such that any sequence of Roseman moves between and necessarily involves branch points. The proof is done by developing the observation that no sphere eversion can be lifted to an isotopy in -space.
Keywords
Cite
@article{arxiv.1406.3539,
title = {Regular-equivalence of $2$-knot diagrams and sphere eversions},
author = {Masamichi Takase and Kokoro Tanaka},
journal= {arXiv preprint arXiv:1406.3539},
year = {2018}
}
Comments
10 pages, 6 figures