Models of Simply-connected Trivalent 2-dimensional Stratifolds

J. C. Gomez-Larranaga, F. Gonzalez-Acuna, W. Heil

with an Implementation Code by Y.A. Hernandex-Esparza

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.