2 citations · 3 across the 3 of their papers we have counts for
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Quantum intersection numbers and the Gromov-Witten invariants of
Xavier Blot, Alexandr Buryak
The notion of a quantum tau-function for a natural quantization of the KdV hierarchy was introduced in a work of Dubrovin, Guéré, Rossi, and the second author. A certain natural ch…
A formula for the Gromov-Witten potential of an elliptic curve
Alexandr Buryak
An algorithm to determine all the Gromov-Witten invariants of any smooth projective curve was obtained by Okounkov and Pandharipande in 2006. They identified stationary invariants…
Quadratic double ramification integrals and the noncommutative KdV hierarchy
Alexandr Buryak, Paolo Rossi
In this paper we compute the intersection number of two double ramification cycles (with different ramification profiles) and the top Chern class of the Hodge bundle on the moduli…
Extended -spin theory and the mirror symmetry for the -singularity
Alexandr Buryak
By a famous result of K. Saito, the parameter space of the miniversal deformation of the -singularity carries a Frobenius manifold structure. The Landau-Ginzburg mirror sy…