Monodromy Groups of Dessins d'Enfant on Rational Polygonal Billiards Surfaces

Richard A. Moy, Jason Schmurr, Japheth Varlack

A dessin d'enfant, or dessin, is a bicolored graph embedded into a Riemann surface, and the monodromy group is an algebraic invariant of the dessin generated by rotations of edges…