The matrix model for dessins d'enfants
The matrix model for dessins d'enfants Page 1 Ann. Inst. Henri Poincar� Comb. Phys. Interact.
1 (2014), 337–361 DOI 10.4171/AIHPD/10 The matrix model for dessins d’enfants Jan Ambj�rn
and Leonid Chekhov1 Abstract. We present the matrix models that are the generating functions
for branched covers of the complex projective line ramified over 0, 1, and 1 (Grothendieck’s
dessins d’enfants) of fixed genus, degree, and the ramification profile at infinity. For general
ramifications at other points, the model is the two-logarithm matrix model with the external field�…
1 (2014), 337–361 DOI 10.4171/AIHPD/10 The matrix model for dessins d’enfants Jan Ambj�rn
and Leonid Chekhov1 Abstract. We present the matrix models that are the generating functions
for branched covers of the complex projective line ramified over 0, 1, and 1 (Grothendieck’s
dessins d’enfants) of fixed genus, degree, and the ramification profile at infinity. For general
ramifications at other points, the model is the two-logarithm matrix model with the external field�…