55 citations · 200 across the 41 of their papers we have counts for
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math-ph2015★ 3 cited
Simple Lie algebras and topological ODEs
Marco Bertola, Boris Dubrovin, Di Yang
For a simple Lie algebra we define a system of linear ODEs with polynomial coefficients, which we call the topological equation of -type. The dimension o…
math-ph2015★ 55 cited
Correlation functions of the KdV hierarchy and applications to intersection numbers over
Marco Bertola, Boris Dubrovin, Di Yang
We derive an explicit generating function of correlations functions of an arbitrary tau-function of the KdV hierarchy. In particular applications, our formulation gives closed form…
math-ph2015★ 6 cited
Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function
Ferenc Balogh, Di Yang
Based on the work of Itzykson and Zuber on Kontsevich's integrals, we give a geometric interpretation and a simple proof of Zhou's explicit formula for the Witten-Kontsevich tau fu…