A bstract We study two-dimensional non-linear sigma models with (2, 2) supersymmetry and
a holomorphic superpotential that are believed to flow to unitary compact (2, 2) …

We propose a formula for the exact central charge of a B-type D-brane that is expected to
hold in all regions of the Kähler moduli space of a Calabi–Yau. For Landau–Ginzburg …

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 …

Let X be a non-compact Calabi-Yau manifold and f be a holomorphic function on X with
compact critical locus. We introduce the notion of f-twisted Sobolev spaces for the pair (X, f) …

Abstract We consider Landau-Ginzburg models stemming from groups comprised of non-
diagonal symmetries, and we describe a rule for the mirror LG model. In particular, we …

Calabi–Yau geometry plays a central role for dualities in string theory. The celebrated
prediction of counting rational curves on quintic 3-fold [5] blows up the mathematical interest …

The motivation for this paper is a better understanding of the basic building blocks of FJRW
theory. The basics of FJRW theory will be briefly outlined, but the majority of the paper will …

The goal of this thesis is to investigate a conjecture about Mirror Symmetry for Landau
Ginzburg (LG) models with non-abelian gauge groups. The conjecture predicts that the LG A …

A twisted ̄ ∂ _f∂¯ f-Neumann problem associated to a singularity (O _n, f)(O n, f) is
established. By relating it to the Koszul complex for Toeplitz n-tuples (f_1, ..., f_n)(f 1,…, fn) …