Fetching the paper…
Reading the bibliography…
We prove that a generalisation of simple Hurwitz numbers due to Johnson, Pandharipande and Tseng satisfy the topological recursion of Eynard and Orantin.
Harris, Joe and Mumford, David On the Kodaira dimension of the moduli space of curves. Invent. Math. 67
1982
Earlier work this paper cites.
Witten, Edward Two-dimensional gravity and intersection theory on moduli space. Surveys in differential geometry (Cambridge, MA, 1990), 243–310, Lehigh Univ., Bethlehem, PA, 1991
1991
Earlier work this paper cites.
I.P.Goulden, D.M.Jackson Transitive factorisations into transpositions and holomorphic mappings on the sphere. Proc. Amer. Math. Soc. 125 (1997), no. 1, 51–60
1997
Earlier work this paper cites.
T.Ekedahl, S.Lando, M.Shapiro, A.Vainshtein, On Hurwitz numbers and Hodge integrals. C. R. Acad. Sci. Paris SÀ?r. I Math. 328 (1999), no. 12, 1175–1180
1999
Earlier work this paper cites.
I.P.Goulden, D.M.Jackson and A.Vainshtein The number of ramified coverings of the sphere by the torus and surfaces of higher genera Annals of Combinatorics 4
2000
Earlier work this paper cites.
T.Ekedahl, S.Lando, M.Shapiro, A.Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves. Invent. Math. 146 (2001), no. 2, 297–327
2001
Earlier work this paper cites.
Jarvis, Tyler and Kimura, Takashi Orbifold quantum cohomology of the classifying space of a finite group. Orbifolds in mathematics and physics (Madison, WI, 2001),123-134, Contemp. Math., 310
2002
Earlier work this paper cites.
T.Graber, R.Vakil, Hodge integrals and Hurwitz numbers via virtual localization. Compositio Math. 135 (2003), no. 1, 25–36
2003
Earlier work this paper cites.
Eynard, Bertrand and Orantin, Nicolas Invariants of algebraic curves and topological expansion. Communications in Number Theory and Physics 1
2007
Earlier work this paper cites.
Bouchard, Vincent and Mariño, Marcos Hurwitz numbers, matrix models and enumerative geometry. From Hodge theory to integrability and TQFT tt*-geometry, 263-283, Proc. Sympos. Pure Math., 78
2008
Cited alongside, same era.
J.Bryan, T.Graber, R.Pandharipande, The orbifold quantum cohomology of ℂ 2 / ℤ 3 \mathbb{C}^{2}/\mathbb{Z}_{3} and Hurwitz–Hodge integrals. J. Algebraic Geom. 17 (2008), no. 1, 1-28
2008
Cited alongside, same era.
Cavalieri, Renzo Generating functions for Hurwitz–Hodge integrals. Adv. Math. 218
2008
Cited alongside, same era.
Mariño, Marcos Open string amplitudes and large order behavior in topological string theory. J. High Energy Phys. 2008
2008
Cited alongside, same era.
Bouchard, Vincent; Klemm, Albrecht; Mariño, Marcos; Pasquetti, Sara Remodeling the B-Model. Comm. Math. Phys. 287
2009
Cited alongside, same era.
A.Bayer and C.Cadman, Quantum cohomology of [ ℂ N / μ r ] [\mathbb{C}^{N}/\mu_{r}] , Compositio Math. 146
2010
Later among the works it cites.
H.-H.Tseng, Orbifold quantum Riemann-Roch, Lefschetz and Serre. Geom. Topol. 14 (2010), no. 1, 1-81
2010
Later among the works it cites.
Borot, Gaëtan; Eynard, Bertrand; Mulase Motohico and Safnuk, Brad. A matrix model for simple Hurwitz numbers, and topological recursion. Journal of Geometry and Physics 61
2011
Later among the works it cites.
Dijkgraaf, Robbert ; Fuji, Hiroyuki and Manabe Masahide The Volume Conjecture, Perturbative Knot Invariants, and Recursion Relations for Topological Strings. Nucl. Phys. B 849
2011
Later among the works it cites.
Bertrand Eynard, Motohico Mulase, Brad Safnuk The Laplace transform of the cut-and-join equation and the Bouchard–Mariño conjecture on Hurwitz numbers Publications of the Research Institute for Mathematical Sciences 47
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
C.Cadman, R.Cavalieri, Gerby localization, ℤ 3 \mathbb{Z}_{3} -Hodge integrals and the GW theory of [ ℂ 3 / ℤ 3 ] [\mathbb{C}^{3}/\mathbb{Z}_{3}] Amer. J. Math. 131 (2009), no. 4, 1009-1046
2009
Cited alongside, same era.
T.Coates, A.Corti, H.Iritani,H.-H.Tseng, Computing genus-zero twisted Gromov-Witten invariants. Duke Math. J. 147 (2009), no. 3, 377-438
2009
Cited alongside, same era.
Eynard, Bertrand and Orantin, Nicolas Topological recursion in enumerative geometry and random matrices. J. Phys. A: Math. Theor. 42
2009
Cited alongside, same era.
Okounkov, Andrei and Pandharipande, Rahul Gromov–Witten theory, Hurwitz numbers, and Matrix models. Algebraic geometry-Seattle 2005. Part 1, 325-414, Proc. Sympos. Pure Math., 80, Part 1, Amer. Math. Soc., Providence, RI, 2009
2009
Cited alongside, same era.
Cited in the paper.
Eynard, Bertrand and Orantin, Nicolas Intersection numbers of spectral curves. arXiv:1104.0176
Cited in the paper.
Cited in the paper.
2011
Later among the works it cites.
P.Johnson, R.Pandharipande and H.-H.Tseng Abelian Hurwitz–Hodge integrals Michigan Math. J. 60
2011
Later among the works it cites.
S.Shadrin, L.Spitz, D.Zvonkine On double Hurwitz numbers with completed cycles. J. London Math. Soc. (2012)
2012
Closest in time.
H.Zhang, J.Zhou, Wreath Hurwitz numbers, colored cut-and-join equations, and 2-Toda hierarchy. Sci. China Math. 55 (2012), no. 8, 1627–1646
2012
Closest in time.