Essential loops in taut ideal triangulations
Geometric Topology
2022-01-11 v3
Abstract
In this note we combinatorialise a technique of Novikov. We use this to prove that, in a three-manifold equipped with a taut ideal triangulation, any vertical or normal loop is essential in the fundamental group.
Cite
@article{arxiv.1902.03206,
title = {Essential loops in taut ideal triangulations},
author = {Saul Schleimer and Henry Segerman},
journal= {arXiv preprint arXiv:1902.03206},
year = {2022}
}
Comments
15 pages, 10 figures and tables. In v3 we have removed the appendix (introduced in v2). This material will appear elsewhere