Chiodo formulas for the r-th roots and topological recursion

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P. Dunin-Barkowski, N. Orantin, S. Shadrin, L. Spitz, Identification of the Givental formula with the spectral curve topological recursion procedure, Comm. Math. Phys. 328

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R. Pandharipande, A. Pixton, D. Zvonkine, Relations on ℳ ¯ g , n \overline{\mathcal{M}}_{g,n} via 3-spin structures, J. Amer. Math. Soc. 28 (2015), no. 1, 279–309

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S. Shadrin, L. Spitz, D. Zvonkine, Equivalence of ELSV and Bouchard-Mariño conjectures for r r -spin Hurwitz numbers, Math. Ann. 361