2 research outputs found
Monodromy Groups of Dessins d'Enfant on Rational Triangular Billiards Surfaces
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 about black and white vertices. A rational
billiards surface is a two dimensional surface that allows one to view the path
of a billiards ball as a continuous path. In this paper, we classify the
monodromy groups of dessins associated to rational triangular billiards
surfaces