# On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion

@article{GarciaFailde2020OnDS, title={On discrete surfaces: Enumerative geometry, matrix models and universality classes via topological recursion}, author={Elba Garcia-Failde}, journal={arXiv: Mathematical Physics}, year={2020} }

The main objects under consideration in this thesis are called maps, a certain class of graphs embedded on surfaces. Our problems have a powerful relatively recent tool in common, the so-called topological recursion (TR) introduced by Chekhov, Eynard and Orantin.
We call a map fully simple if it has non self-intersecting disjoint boundaries, and ordinary if such a restriction is not imposed. We study the combinatorial relation between fully simple and ordinary maps with the topology of a disk…

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