Geometry & Topology Volume 26, issue 7 (2022)

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Volume forms on moduli spaces of $d$–differentials

Duc-Manh Nguyen

Geometry & Topology 26 (2022) 3173–3220

DOI: 10.2140/gt.2022.26.3173

Bibliography

1	J S Athreya, A Eskin, A Zorich, Right-angled billiards and volumes of moduli spaces of quadratic differentials on ℂP¹, Ann. Sci. École Norm. Sup. 49 (2016) 1311 MR3592359
2	M Bainbridge, D Chen, Q Gendron, S Grushevsky, M Möller, Strata of k–differentials, Algebr. Geom. 6 (2019) 196 MR3914751
3	P Engel, Hurwitz theory of elliptic orbifolds, I, Geom. Topol. 25 (2021) 229 MR4226230
4	P Engel, P Smillie, The number of convex tilings of the sphere by triangles, squares, or hexagons, Geom. Topol. 22 (2018) 2839 MR3811773
5	H Esnault, E Viehweg, Lectures on vanishing theorems, 20, Birkhäuser (1992) MR1193913
6	B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
7	G Farkas, R Pandharipande, The moduli space of twisted canonical divisors, J. Inst. Math. Jussieu 17 (2018) 615 MR3789183
8	S Ghazouani, L Pirio, Moduli spaces of flat tori with prescribed holonomy, Geom. Funct. Anal. 27 (2017) 1289 MR3737364
9	F Labourie, Cyclic surfaces and Hitchin components in rank 2, Ann. of Math. 185 (2017) 1 MR3583351
10	S K Lando, A K Zvonkin, Graphs on surfaces and their applications, 141, Springer (2004) MR2036721
11	H Masur, Interval exchange transformations and measured foliations, Ann. of Math. (2) 115 (1982) 169 MR644018
12	H Masur, J Smillie, Hausdorff dimension of sets of nonergodic measured foliations, Ann. of Math. 134 (1991) 455 MR1135877
13	H Masur, S Tabachnikov, Rational billiards and flat structures, from: "Handbook of dynamical systems, IA" (editors B Hasselblatt, A Katok), North-Holland (2002) 1015 MR1928530
14	C T McMullen, Braid groups and Hodge theory, Math. Ann. 355 (2013) 893 MR3020148
15	D M Nguyen, Triangulations and volume form on moduli spaces of flat surfaces, Geom. Funct. Anal. 20 (2010) 192 MR2647139
16	D M Nguyen, Energy functions on moduli spaces of flat surfaces with erasing forest, Math. Ann. 353 (2012) 997 MR2923955
17	J Schmitt, Dimension theory of the moduli space of twisted k–differentials, Doc. Math. 23 (2018) 871 MR3861042
18	W P Thurston, Shapes of polyhedra and triangulations of the sphere, from: "The Epstein birthday schrift" (editors I Rivin, C Rourke, C Series), Geom. Topol. Monogr. 1, Geom. Topol. Publ. (1998) 511 MR1668340
19	W A Veech, Moduli spaces of quadratic differentials, J. Analyse Math. 55 (1990) 117 MR1094714
20	W A Veech, Flat surfaces, Amer. J. Math. 115 (1993) 589 MR1221838
21	A Zorich, Flat surfaces, from: "Frontiers in number theory, physics, and geometry, I" (editors P Cartier, B Julia, P Moussa, P Vanhove), Springer (2006) 437 MR2261104