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- W4291016952 abstract "We propose a new approach to the topological recursion of Eynard-Orantin based on the notion of Airy structure, which we introduce in the paper. We explain why Airy structure is a more fundamental object than the one of the spectral curve. We explain how the concept of quantization of Airy structure leads naturally to the formulas of topological recursion as well as their generalizations. The notion of spectral curve is also considered in a more general framework of Poisson surfaces endowed with foliation. We explain how the deformation theory of spectral curves is related to Airy structures. Few other topics (e.g. the Holomorphic Anomaly Equation) are also discussed from the general point of view of Airy structures." @default.
- W4291016952 created "2022-08-13" @default.
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- W4291016952 date "2017-01-31" @default.
- W4291016952 modified "2023-10-17" @default.
- W4291016952 title "Airy structures and symplectic geometry of topological recursion" @default.
- W4291016952 doi "https://doi.org/10.48550/arxiv.1701.09137" @default.
- W4291016952 hasPublicationYear "2017" @default.
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