A matrix model for simple Hurwitz numbers, and topological recursion

Harish-Chandra, Differential operators on a semi-simple Lie algebra , J. Amer. Math., 87–120 (1957)

1957

Earlier work this paper cites.

C. Itzykson and J.-B. Zuber, The planar approximation. II , J. Math. Phys. 21

1980

Earlier work this paper cites.

D. Mumford, Towards an enumerative geometry of the moduli space of curves , in “Arithmetic and Geometry” (M. Artin, J. Tate, Eds.), Part II, 271–328, Birkhäuser (1983)

1983

Earlier work this paper cites.

I.G. Macdonald, Symmetric functions and Hall polynomials , second ed., Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, New York, (1995). With contributions by A. Zelevinsky, Oxford Science Publications

1995

Earlier work this paper cites.

I.P. Goulden and D.M. Jackson, Transitive factorisations into transpositions and holomorphic mappings on the sphere , Proc. ams

1997

Earlier work this paper cites.

I.P. Goulden, D.M. Jackson and R. Vakil, The Gromov-Witten potential of a point, Hurwitz numbers, and Hodge integrals , arXiv:math.AG/9910004

1999

Earlier work this paper cites.

C. Faber and R. Pandharipande, Hodge integrals and Gromov-Witten theory , Invent. Math. 139

2000

Cited alongside, same era.

A. Okounkov, Toda equations for Hurwitz numbers , Math. Res. Lett. 7

2000

Cited alongside, same era.

T. Ekedahl, S. Lando, M. Shapiro, A. Vainshtein, Hurwitz numbers and intersections on moduli spaces of curves , Invent. Math. 146

2001

Cited alongside, same era.

V. Bouchard, A. Klemm, M. Mariño, S. Pasquetti, Remodeling the B-model , Commun. Math. Phys. 287

Original

2007

Cited alongside, same era.

B. Eynard, N. Orantin, Invariants of algebraic curves and topological expansion , Communications in Number Theory and Physics, Vol 1, Number 2, p347-452, arXiv:math-ph/0702045

2007

Cited alongside, same era.

B. Eynard, Recursion between Mumford volumes of moduli spaces , arXiv:math-ph/0706.4403

2007

Later among the works it cites.

V. Bouchard, M. Mariño, Hurwitz numbers, matrix models and enumerative geometry , arXiv:0709.1458

Original

2008

Later among the works it cites.

B. Eynard, All order asymptotic expansion of large partitions , J. Stat. Mech. Theory Exp., no. 7, P07023, 34, arXiv:0804.0381

Original

2008

Later among the works it cites.

M. Kazarian, KP hierarchy for Hodge integrals , arXiv:math.AG/0809.3263

2008

Later among the works it cites.

A. Mironov and A. Morozov, Virasoro constraints for Kontsevich-Hurwitz partition function , arXiv:0807.2843

Original

2009

Closest in time.