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Topological expansion and boundary conditions
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In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discrete surfaces of given genus, carrying an Ising model, and with all possible given boundary conditions. The method is recursive, and amounts to recursively cutting surfaces along interfaces. The result is best represented in a diagrammatic way, and is thus rather simple to use.
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Cited by 1 Pith paper
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A bijective topological recursion for maps
Iterating Tutte's edge-erasing procedure until the topology changes yields a bijective pair-of-pants excision that reproduces (blobbed) topological recursion for maps and stuffed maps.
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