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Pillowcase covers: counting Feynman-like graphs associated with quadratic differentials

Elise Goujard and Martin Möller

Algebraic & Geometric Topology 20 (2020) 2451–2510
1 A Aggarwal, Large genus asymptotics for volumes of strata of abelian differentials, J. Amer. Math. Soc. 33 (2020) 941 MR4155217
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3 J Böhm, K Bringmann, A Buchholz, H Markwig, Tropical mirror symmetry for elliptic curves, J. Reine Angew. Math. 732 (2017) 211 MR3717092
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5 D Chen, M Möller, A Sauvaget, D Zagier, Masur–Veech volumes and intersection theory on moduli spaces of abelian differentials, Invent. Math. 222 (2020) 283 MR4145791
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7 V Delecroix, E Goujard, P Zograf, A Zorich, Masur–Veech volumes, frequencies of simple closed geodesics and intersection numbers of moduli spaces of curves, preprint (2019) arXiv:1908.08611
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13 A Eskin, A Okounkov, Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials, Invent. Math. 145 (2001) 59 MR1839286
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17 E Goujard, M Möller, Counting Feynman-like graphs : quasimodularity and Siegel–Veech weight, J. Eur. Math. Soc. 22 (2020) 365 MR4049220
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21 H Masur, A Zorich, Multiple saddle connections on flat surfaces and the principal boundary of the moduli spaces of quadratic differentials, Geom. Funct. Anal. 18 (2008) 919 MR2439000
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23 R Ríos-Zertuche, An introduction to the half-infinite wedge, from: "Mexican mathematicians abroad: recent contributions" (editors N Bárcenas, F Galaz-García, M Moreno Rocha), Contemp. Math. 657, Amer. Math. Soc. (2016) 197 MR3466453
24 A Sauvaget, Volumes and Siegel–Veech constants of (2G 2) and Hodge integrals, Geom. Funct. Anal. 28 (2018) 1756 MR3881834
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