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- W1664824595 abstract "The relations in the tautological ring of the moduli space M_g of nonsingular curves conjectured by Faber-Zagier in 2000 and extended to the moduli space of stable pointed curves by Pixton in 2012 are based upon two hypergeometric series A and B. The question of the geometric origins of these series has been solved in at least two ways (via the Frobenius structures associated to 3-spin curves and to CP1). The series A and B also appear in the study of descendent integration on the moduli spaces of open and closed curves. We survey here the various occurrences of A and B starting from their appearance in the asymptotic expansion of the Airy function (calculated by Stokes in the 19th century). Several open questions are proposed." @default.
- W1664824595 created "2016-06-24" @default.
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- W1664824595 date "2015-02-18" @default.
- W1664824595 modified "2023-09-26" @default.
- W1664824595 title "The hypergeometric functions of the Faber-Zagier and Pixton relations" @default.
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- W1664824595 doi "https://doi.org/10.48550/arxiv.1502.05150" @default.
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