Work

Models of Simply-connected Trivalent $2$-dimensional Stratifolds with an Implementation Code

Year: 2018

Type: preprint

Abstract: Trivalent $2$-stratifolds are a generalization of $2$-manifolds in that there are disjoint simple closed curves where three sheets meet. We develop operations on their associated labeled graphs that will effectively construct from a single vertex all graphs that represent $1$-connected $2$-stratifolds. We describe an implementation on Python of these operations and other previous results.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1805.06302

Authors: Gómez-Larrañaga, J. C., González-Acuña, F., Heil, Wolfgang, Hernández-Esparza, Y. A.

Institutions: Mathematics Research Center, Universidad Nacional Autónoma de México, Florida State University, Universidad de Guanajuato

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Institut national de recherche en informatique et en automatique (INRIA), Institute of Science and Technology Austria

OpenAlex ID: W2804494950

Cites: 9

Cited by: 1

Related to: 10