160 citations · 1.4k across the 97 of their papers we have counts for
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math.QA2011★ 15 cited
Givental group action on Topological Field Theories and homotopy Batalin--Vilkovisky algebras
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
In this paper, we initiate the study of the Givental group action on Cohomological Field Theories in terms of homotopical algebra. More precisely, we show that the stabilisers of T…
math-ph2011★ 47 cited
On deformations of quasi-Miura transformations and the Dubrovin-Zhang bracket
A. Buryak, H. Posthuma, S. Shadrin
In our recent paper we proved the polynomiality of a Poisson bracket for a class of infinite-dimensional Hamiltonian systems of PDE's associated to semi-simple Frobenius structures…
math.CO2011★ 24 cited
On double Hurwitz numbers with completed cycles
S. Shadrin, L. Spitz, D. Zvonkine
In this paper, we collect a number of facts about double Hurwitz numbers, where the simple branch points are replaced by their more general analogues --- completed (r+1)-cycles. In…