$2$-stratifolds with fundamental group $\mathbb{Z}$
Geometric Topology
2018-12-05 v1
Abstract
-stratifolds are a generalization of -manifolds that occur as objects in applications such as in TDA. These spaces can be described by an associated bicoloured labelled graph. In previous papers we obtained a classification of 1-connected trivalent -stratifolds. In this paper we classify trivalent -stratifolds that have fundamental group . This classification implicitly gives an efficient algorithm that applies to a bicoloured labelled graph to decide wether the associated -stratifold has fundamental group .
Cite
@article{arxiv.1812.01589,
title = {$2$-stratifolds with fundamental group $\mathbb{Z}$},
author = {J. C. Gómez-Larrañaga and F. González-Acuña and Wolfgang Heil},
journal= {arXiv preprint arXiv:1812.01589},
year = {2018}
}