524 citations · 10.3k across the 134 of their papers we have counts for
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Exact quantization conditions for cluster integrable systems
Sebastian Franco, Yasuyuki Hatsuda, Marcos Marino
We propose exact quantization conditions for the quantum integrable systems of Goncharov and Kenyon, based on the enumerative geometry of the corresponding toric Calabi-Yau manifol…
Exact quantization conditions for the relativistic Toda lattice
Yasuyuki Hatsuda, Marcos Marino
Inspired by recent connections between spectral theory and topological string theory, we propose exact quantization conditions for the relativistic Toda lattice of N particles. The…
Spectral Theory and Mirror Curves of Higher Genus
Santiago Codesido, Alba Grassi, Marcos Marino
Recently, a correspondence has been proposed between spectral theory and topological strings on toric Calabi-Yau manifolds. In this paper we develop in detail this correspondence f…
Exact solutions to quantum spectral curves by topological string theory
Jie Gu, Albrecht Klemm, Marcos Marino +1
We generalize the conjectured connection between quantum spectral problems and topological strings to many local almost del Pezzo surfaces with arbitrary mass parameters. The conje…
Spectral Theory and Mirror Symmetry
Marcos Marino
Recent developments in string theory have revealed a surprising connection between spectral theory and local mirror symmetry: it has been found that the quantization of mirror curv…
Matrix models from operators and topological strings, 2
Rinat Kashaev, Marcos Marino, Szabolcs Zakany
The quantization of mirror curves to toric Calabi--Yau threefolds leads to trace class operators, and it has been conjectured that the spectral properties of these operators provid…