67 citations · 510 across the 48 of their papers we have counts for
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math-ph2016★ 21 cited
Integrable systems of double ramification type
Alexandr Buryak, Boris Dubrovin, Jérémy Guéré +1
In this paper we study various aspects of the double ramification (DR) hierarchy, introduced by the first author, and its quantization. We extend the notion of tau-symmetry to quan…
math.AG2016
Double ramification cycles and the -point function for the moduli space of curves
Alexandr Buryak
In this paper, using the formula for the integrals of the -classes over the double ramification cycles found by S. Shadrin, L. Spitz, D. Zvonkine and the author, we derive a new…
math-ph2016★ 25 cited
Tau-structure for the Double Ramification Hierarchies
A. Buryak, B. Dubrovin, J. Guéré +1
In this paper we continue the study of the double ramification hierarchy of [Bur15]. After showing that the DR hierarchy satisfies tau-symmetry we define its partition function as…