160 citations · 1.4k across the 97 of their papers we have counts for
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Integrals of psi-classes over double ramification cycles
A. Buryak, S. Shadrin, L. Spitz +1
DR-cycles are certain cycles on the moduli space of curves. Intuitively, they parametrize curves that allow a map to \mathbb{P}^1 with some specified ramification profile over two…
Identification of the Givental formula with the spectral curve topological recursion procedure
P. Dunin-Barkowski, N. Orantin, S. Shadrin +1
We identify the Givental formula for the ancestor formal Gromov-Witten potential with a version of the topological recursion procedure for a collection of isolated local germs of t…
De Rham cohomology and homotopy Frobenius manifolds
Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette
We endow the de Rham cohomology of any Poisson or Jacobi manifold with a natural homotopy Frobenius manifold structure. This result relies on a minimal model theorem for multicompl…
Towards Lax formulation of integrable hierarchies of topological type
Guido Carlet, Johan van de Leur, Hessel Posthuma +1
To each partition function of cohomological field theory one can associate an Hamiltonian integrable hierarchy of topological type. The Givental group acts on such partition functi…
Givental graphs and inversion symmetry
P. Dunin-Barkowski, S. Shadrin, L. Spitz
Inversion symmetry is a very non-trivial discrete symmetry of Frobenius manifolds. It was obtained by Dubrovin from one of the elementary Schlesinger transformations of a special O…