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math.AG2010★ 2 cited
The classes of the quasihomogeneous Hilbert schemes of points on the plane
A. Buryak
In this paper we give a formula for the classes (in the Grothendieck ring of complex quasi-projective varieties) of irreducible components of -quasi-homogeneous Hilbert sche…
math-ph2010★ 67 cited
A polynomial bracket for the Dubrovin--Zhang hierarchies
A. Buryak, H. Posthuma, S. Shadrin
We define a hierarchy of Hamiltonian PDEs associated to an arbitrary tau-function in the semi-simple orbit of the Givental group action on genus expansions of Frobenius manifolds.…