Generating Closed 2-Cell Embeddings in the Torus and the Projective Plane.
Generating series and asymptotics of classical spin networks
We study classical spin networks with group SU. In the first part, using Gaussian integrals, we compute their generating series in the case where the edges are equipped with holonomies; this generalizes Westbury’s formula. In the second part, we use an integral formula for the square of the spin network and perform stationary phase approximation under some non-degeneracy hypothesis. This gives a precise asymptotic behavior when the labels are rescaled by a constant going to infinity.
Geometric structures on toroidal maps and elliptic curves
Graphe planaire et représentation sur une surface de genre quelconque pour une courbe à points multiples donnée par un schéma de Gauss
Graphs and projective planes in 3-manifolds.