Alexey Basalaev

activity

20172025

most citedMirror symmetry for a cusp polynomial Landau-Ginzburg orbifold

1 citations · 1 across the 3 of their papers we have counts for

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Showing 2020Show all

3 papers · 1 filter

math.AG2020

Hochschild cohomology of Fermat type polynomials with non-abelian symmetries

Alexey Basalaev, Andrei Ionov

For a polynomial $f = x_{1}^{n} + \dots + x_{N}^{n}$ let $G_{f}$ be the non--abelian maximal group of symmetries of $f$ . This is a group generated by all $g \in GL (N, C)$ , r…

math.AG2020★ 1 cited

Mirror symmetry for a cusp polynomial Landau-Ginzburg orbifold

Alexey Basalaev, Atsushi Takahashi

For any triple of positive integers $A^{'} = (a_{1}^{'}, a_{2}^{'}, a_{3}^{'})$ and $c \in C^{*}$ , cusp polynomial $f_{A^{'}} = x_{1}^{a_{1}^{'}} + x_{2}^{a_{2}^{'}} + x_{3}^{a_{3}^{'}} - c^{- 1} x_{1} x_{2} x_{3}$ is known to be mir…

math-ph2020

Integrable hierarchies associated to infinite families of Frobenius manifolds

Alexey Basalaev, Petr Dunin-Barkowski, Sergey Natanzon

We propose a new construction of an integrable hierarchy associated to any infinite series of Frobenius manifolds satisfying a certain stabilization condition. We study these hiera…