BHK mirror symmetry as introduced by Berglund–Hübsch and Marc Krawitz between
Landau–Ginzburg (LG) models has been the topic of much study in recent years. An LG …

We develop an approach to calculating the cup and cap products on Hochschild
cohomology and homology of curved algebras associated with polynomials and their finite …

In this work we study the topological rings of two dimensional (2, 2) and (0, 2) hybrid models.
In particular, we use localization to derive a formula for the correlators in both cases …

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Abstract We study Landau–Ginzburg orbifolds (f, G) with f= x_1^ n+ ⋯+ x_N^ n and G=
S\ltimes G^ d, where S ⊆ S_N and G^ d is either the maximal group of scalar symmetries of f …

This note shows that the orbifold Jacobian algebra associated to each invertible polynomial
defining an exceptional unimodal singularity is isomorphic to the (usual) Jacobian algebra of …

Given an algebra with a group G-action, we construct brace structures for its G-twisted
Hochschild cochains. An an application, we construct G-Frobenius algebras for orbifold …

Let f be an invertible polynomial and G a group of diagonal symmetries of f. This note shows
that the orbifold Jacobian algebra Jac. f; G/of. f; G/defined by [2] is isomorphic as a Z= 2Z …

In this paper, we study the bigraded vector space structure of Landau-Ginzburg orbifolds.
We prove the formula for the generating function of the Hodge numbers of possibly …

For a polynomial f= x 1 n+…+ x N n let G f be the non–abelian maximal group of symmetries
of f. This is a group generated by all g∈ GL (N, C), rescaling and permuting the variables, so …