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Moduli spaces of residueless meromorphic differentials and the KP hierarchy

Alexandr Buryak, Paolo Rossi and Dimitri Zvonkine

Geometry & Topology 28 (2024) 2793–2824
Bibliography
1 A Arsie, A Buryak, P Lorenzoni, P Rossi, Flat F-manifolds, F-CohFTs, and integrable hierarchies, Comm. Math. Phys. 388 (2021) 291 MR4328055
2 A Arsie, A Buryak, P Lorenzoni, P Rossi, Semisimple flat F-manifolds in higher genus, Comm. Math. Phys. 397 (2023) 141 MR4538285
3 Y Bae, D Holmes, R Pandharipande, J Schmitt, R Schwarz, Pixton’s formula and Abel–Jacobi theory on the Picard stack, Acta Math. 230 (2023) 205 MR4628606
4 M Bainbridge, D Chen, Q Gendron, S Grushevsky, M Möller, Compactification of strata of abelian differentials, Duke Math. J. 167 (2018) 2347 MR3848392
5 M Bainbridge, D Chen, Q Gendron, S Grushevsky, M Möller, The moduli space of multi-scale differentials, preprint (2019) arXiv:1910.13492
6 A Buryak, Double ramification cycles and integrable hierarchies, Comm. Math. Phys. 336 (2015) 1085 MR3324138
7 A Buryak, B Dubrovin, J Guéré, P Rossi, Tau-structure for the double ramification hierarchies, Comm. Math. Phys. 363 (2018) 191 MR3849988
8 A Buryak, B Dubrovin, J Guéré, P Rossi, Integrable systems of double ramification type, Int. Math. Res. Not. 2020 (2020) 10381 MR4190406
9 A Buryak, P Rossi, Recursion relations for double ramification hierarchies, Comm. Math. Phys. 342 (2016) 533 MR3459159
10 A Buryak, P Rossi, Extended r–spin theory in all genera and the discrete KdV hierarchy, Adv. Math. 386 (2021) 107794 MR4265543
11 A Buryak, P Rossi, Quadratic double ramification integrals and the noncommutative KdV hierarchy, Bull. Lond. Math. Soc. 53 (2021) 843 MR4275093
12 A Buryak, P Rossi, A generalisation of Witten’s conjecture for the Pixton class and the noncommutative KDV hierarchy, J. Inst. Math. Jussieu 22 (2023) 2987 MR4653765
13 A Buryak, S Shadrin, L Spitz, D Zvonkine, Integrals of ψ–classes over double ramification cycles, Amer. J. Math. 137 (2015) 699 MR3357119
14 M Costantini, M Möller, J Zachhuber, The Chern classes and Euler characteristic of the moduli spaces of abelian differentials, Forum Math. Pi 10 (2022) MR4448178
15 L A Dickey, Soliton equations and Hamiltonian systems, 12, World Sci. (1991) MR1147643
16 B Dubrovin, Y Zhang, Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov–Witten invariants, preprint (2001) arXiv:math/0108160
17 C Faber, R Pandharipande, Logarithmic series and Hodge integrals in the tautological ring, Michigan Math. J. 48 (2000) 215 MR1786488
18 G Farkas, R Pandharipande, The moduli space of twisted canonical divisors, J. Inst. Math. Jussieu 17 (2018) 615 MR3789183
19 R Hain, Normal functions and the geometry of moduli spaces of curves, from: "Handbook of moduli, I" (editors G Farkas, I Morrison), Adv. Lect. Math. 24, International (2013) 527 MR3184171
20 E N Ionel, Topological recursive relations in H2g(g,n), Invent. Math. 148 (2002) 627 MR1908062
21 F Janda, R Pandharipande, A Pixton, D Zvonkine, Double ramification cycles on the moduli spaces of curves, Publ. Math. Inst. Hautes Études Sci. 125 (2017) 221 MR3668650
22 M Kontsevich, Y Manin, Gromov–Witten classes, quantum cohomology, and enumerative geometry, Comm. Math. Phys. 164 (1994) 525 MR1291244
23 S Q Liu, Y Ruan, Y Zhang, BCFG Drinfeld–Sokolov hierarchies and FJRW-theory, Invent. Math. 201 (2015) 711 MR3370624
24 P Rossi, Integrability, quantization and moduli spaces of curves, Symmetry Integrability Geom. Methods Appl. 13 (2017) 060 MR3680568
25 A Sauvaget, Cohomology classes of strata of differentials, Geom. Topol. 23 (2019) 1085 MR3956890