Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds

J. C. Gómez-Larrañaga; F. González-Acuña; Wolfgang Heil

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arXiv · 1611.08013

Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds

J. C. Gómez-Larrañaga·F. González-Acuña·Wolfgang Heil

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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 obtain a classification of $1$-connected $2$-stratifolds in terms of their associated labeled graphs and develop operations that will construct from a single vertex all graphs that represent $1$-connected $2$-stratifolds.

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J. C. Gómez-Larrañaga, F. González-Acuña, Wolfgang Heil. 2016-11-23. Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds. https://arxiv.org/abs/1611.08013

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