Dubrovin-Zhang hierarchy for the Hodge integrals

J. Satsuma, M. J. Ablowitz, Y. Kodama. On an internal wave equation describing a stratified fluid with finite depth. Physics Letters A

1979

Earlier work this paper cites.

E. Witten. Two-dimensional gravity and intersection theory on moduli space. Surveys in differential geometry

1991

Earlier work this paper cites.

M. Kontsevich. Intersection Theory on the Moduli Space of Curves and the Matrix Airy Function. Communications in Mathematical Physics

1992

Earlier work this paper cites.

R. L. Graham, D. E. Knuth, O. Patashnik. Concrete Mathematics: A Foudation for Computer Science. Addison-Wesley Professional, 2 edition (March 10, 1994), 672 pp

1994

Earlier work this paper cites.

Y. Manin, P. Zograf. Invertible cohomological field theories and Weil-Petersson volumes. Annales de l’institut Fourier

2000

Cited alongside, same era.

C. Faber, R. Pandharipande. Hodge integrals, partition matrices, and the λ g \lambda_{g} -conjecture. Annals of Mathematics

2003

Cited alongside, same era.

B. A. Dubrovin, Y. Zhang. Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov-Witten invariants. A new 2005 version of arXiv:math/0108160v1

2005

Cited alongside, same era.

Si-Qi Liu, Y. Zhang. On quasi-triviality and integrability of a class of scalar evolutionary PDEs. Journal of Geometry and Physics

2006

Cited alongside, same era.

M. Kazarian. KP hierarchy for Hodge integrals. Advances in Mathematics

2009

Later among the works it cites.

S. Shadrin. BCOV theory via Givental group action on cohomological field theories. Moscow Mathematical Journal

2009

Later among the works it cites.

A. Buryak, H. Posthuma, S. Shadrin. On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket. Journal of Geometry and Physics

2012

Later among the works it cites.

A. Buryak, H. Posthuma, S. Shadrin. A polynomial bracket for the Dubrovin-Zhang hierarchies. Journal of Differential Geometry

2012

Later among the works it cites.