8 citations · 29 across the 13 of their papers we have counts for
14 papers
Landau--Ginzburg mirror symmetry for ADE singularities
Alexey Basalaev
We prove Landau-Ginzburg mirror symmetry conjecture for ADE singularities with the nontrivial symmetry groups. In particular, we consider with $f \in \mathbb{C}[z_1,z_2,z_3…
Genus zero Whitham hierarchy via Hurwitz--Frobenius manifolds
Alexey Basalaev
B. Dubrovin introduced the structure of a Dubrovin--Frobenius manifold on a space of ramified coverings of a sphere by a genus Riemann surface with the prescribed ramification…
Mirror partner for a Klein quartic polynomial
Alexey Basalaev
The results of A.Chiodo, Y.Ruan and M.Krawitz associate the mirror partner Calabi-Yau variety to a Landau--Ginzburg orbifold if is an invertible polynomial satisfyi…
On B type family of Dubrovin-Frobenius manifolds and their integrable systems
Alexey Basalaev
According to D.Zuo and an unpulished work of M.Bertola, there is a two--index series of Dubrovin--Frobenius manifold structures associated to a B type Coxeter group. We study the r…
Hodge diamonds of the Landau--Ginzburg orbifolds
Alexey Basalaev, Andrei Ionov
Consider the pairs with being a polynomial defining a quasihomogeneous singularity and being a subgroup of , preserving $…
Integrable systems associated to open extensions of type A and D Dubrovin-Frobenius manifolds
Alexey Basalaev
We investigate the solutions to open WDVV equation, associated to type A and D Dubrovin-Frobenius manifolds. We show that these solutions satisfy some stabilization condition and a…