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

J. C. Gómez-Larrañaga; F. González-Acuña; Wolfgang Heil; Y. A. Hernández-Esparza

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arXiv · 1805.06302

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

J. C. Gómez-Larrañaga·F. González-Acuña·Wolfgang Heil·Y. A. Hernández-Esparza

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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.

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J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil, Y. A. Hernández-Esparza. 2018-05-14. Models of Simply-connected Trivalent $2$-dimensional Stratifolds with an Implementation Code. https://arxiv.org/abs/1805.06302

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