Polynomiality of Hurwitz numbers, Bouchard-Mari\~no conjecture, and a new proof of the ELSV formula

D. Mumford. Towards enumerative geometry on the moduli space of curves. In: Arithmetics and Geometry (M. Artin, J. Tate eds.), v.2, Birkhäuser, 1983, 271–328

1983

Earlier work this paper cites.

E. Witten, Two dimensional gravity and intersection theory on moduli space, Surveys in Differential Geometry 1, 243-310 (1991)

1991

Earlier work this paper cites.

R. Dijkgraaf, Intersection Theory, Integrable Hierarchies and Topological Field Theory, New symmetry principles in quantum field theory (Cargése, 1991), 95-158, NATO Adv. Sci. Inst. Ser. B Phys., 295, Plenum, New York, 1992

1992

Earlier work this paper cites.

M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Commun. Math. Phys. 147, 1-23 (1992)

1992

Earlier work this paper cites.

S.Kharchev, A.Marshakov, A.Mironov, A.Morozov, A.Zabrodin, Towards unified theory of 2d gravity, Nucl.Phys.B380:181-240, 1992, arXiv:hep-th/9201013

1992

Earlier work this paper cites.

A.Marshakov, A.Mironov, A.Morozov, On the equivalence of topological and quantum 2D gravity, Phys. Lett. B274 (1992) 280, arXiv:hep-th/9201011

1992

Earlier work this paper cites.

R.M. Corless, G.H. Gonnet, D.E.G. Hare, D.J. Jeffrey, D.E. Knuth, On the Lambert W-function, Adv. Comp. Math. 5 (1996), 329–359

1996

Earlier work this paper cites.

I. Goulden, D. 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.

I.P. Goulden and D.M. Jackson, The Number of Ramified Coverings of the Sphere by the Double Torus, and a General Form for Higher Genera, J. Comb. Theory, Ser. A 88 (1999), no. 2, 259–275

1999

Earlier work this paper cites.

C. Faber and R. Pandharipande, Hodge integrals and Gromov-Witten theory, Invent. Math. 139, 173-199 (2000)

2000

Cited alongside, same era.

T. Ekedahl, S. Lando, M. Shapiro, and A. Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves, Invent. Math. 146 (2001), no. 2, 297–-327

2001

Cited alongside, same era.

I.P. Goulden, D.M. Jackson, R. Vakil, The Gromov-Witten Potential of A Point, Hurwitz Numbers, and Hodge Integrals, Proc. Lond. Math. Soc. 83 (2001), no. 3, 563–581

2001

Cited alongside, same era.

A. Givental, Gromov-Witten invariants and quantization of quadratic hamiltonians, Mosc. Math. J. 1 (2001), no. 4, 551–568

2001

Cited alongside, same era.

A. Okounkov and R. Pandharipande, The equivariant Gromov-Witten theory of ℙ 1 \mathbb{P}^{1} , arXiv:math/0207233 [math.AG] (2002)

2002

Cited alongside, same era.

L. Chekhov, B. Eynard, N. Orantin, Free energy topological expansion for the 2-matrix model, JHEP 0612:053, 2006, arXiv:math-ph/0603003

2006

Later among the works it cites.

A. Okounkov, R. Pandharipande, Gromov-Witten theory, Hurwitz theory, and completed cycles, Ann. Math. (2) 163

2006

Later among the works it cites.

A.Alexandrov, A.Mironov, A.Morozov, Instantons and Merons in Matrix Models, Physica D235:126-167,2007, arXiv:hep-th/0608228

2007

Later among the works it cites.

B. Eynard, N. Orantin, Invariants of algebraic curves and topological expansion, Commun. Number Theory Phys. 1 (2007), no. 2, 347-–452

2007

Later among the works it cites.

M. Kazarian, Deformations of cohomological field theories, preprint 2007

2007

Later among the works it cites.