Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach

I. M. Gel’fand and L. A. Dikii, Integrable nonlinear equations and the Liouville theorem, Funct. Anal. Appl. 13(1)

1979

Earlier work this paper cites.

I. Krichever, The tau-function of the universal Witham hierarchy, matrix models and topological field theories, Commun. Pure Appl. Math. 47

1992

Earlier work this paper cites.

B. Eynard, Asymptotics of skew orthogonal polynomials, J. Phys A. 34 (2001) 7591, cond-mat/0012046

2001

Earlier work this paper cites.

I. Dumitriu, A. Edelman, Matrix models for beta ensembles, J. Math. Phys., 43

2002

Earlier work this paper cites.

M. L. Mehta, Random matrices (3e edition), Pure and Applied Mathematics Series 142, Elsevier (London - 2004), 688 pp. ISBN 0120884097

2004

Cited alongside, same era.

N. A. Nekrasov, Selberg–Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7

2004

Cited alongside, same era.

L. Chekhov, B. Eynard, Matrix eigenvalue model: Feynman graph technique for all genera, JHEP 0612 (2006) 026, math-ph/0604014

2006

Cited alongside, same era.

L. F. Alday, D. Gaiotto, and Y. Tachikawa, Liouville correlation function from four-dimensional gauge theories, arXiv:0906.3219 [hep-th]

Original

Cited in the paper.

O. Babelon, D. Talalaev, On the Bethe Ansatz for the Jaynes-Cummings-Gaudin model, hep-th/0703124

Cited in the paper.

L. Chekhov, B. Eynard, Hermitean matrix model free energy: Feynman graph technique for all genera, JHEP 009P 0206/5, hep-th/0504116

Cited in the paper.

L. O. Chekhov, B. Eynard, and O. Marchal, Topological expansion of the Bethe ansatz, and quantum algebraic geometry, arXiv:0911.1664

Original

Cited in the paper.

T. Eguchi and K. Maruyoshi, Penner-type matrix model and Seiberg–Witten theory// arXiv:0911.4797v3[hep-th]

Original

Cited in the paper.

B. Eynard, Topological expansion for the 1-hermitian matrix model correlation functions, JHEP/024A/0904, hep-th/0407261

Cited in the paper.

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

Cited in the paper.

B. Eynard, A. Prats Ferrer, Topological expansion of the chain of matrices, math-ph: arxiv.0805.1368

Cited in the paper.

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

2006

Later among the works it cites.

B. Eynard, O. Marchal, Topological expansion of the Bethe ansatz, and non-commutative algebraic geometry, arXiv:0809.3367, JHEP03(2009)094

Original

2009

Later among the works it cites.

A. Mironov and A. Morozov, The power of Nekrasov functions, Phys. Lett. B 680

Original

2052

Closest in time.