The study of Cohen–Macaulay modules over Noetherian local rings originates from the
theory of integral representations of finite groups (which, on its side, grew up from a very …

We use toric geometry to study open string mirror symmetry on compact Calabi-Yau
manifolds. For a mirror pair of toric branes on a mirror pair of toric hypersurfaces we derive a …

This work is concerned with branes and differential equations for oneparameter Calabi–Yau
hypersurfaces in weighted projective spaces. For a certain class of B-branes, we derive the …

We show that the hemisphere partition function for certain U (1) gauged linear sigma models
(GLSMs) with D-branes is related to a particular set of Mellin-Barnes integrals which can be …

We discuss B-type tensor product branes in mirrors of two-parameter Calabi–Yau
hypersurfaces, using the language of matrix factorizations. We determine the open string …

Perturbations of B-type defects in Landau-Ginzburg models are considered. In particular, the
effect of perturbations of defects on their fusion is analyzed in the framework of matrix …

Using instanton effects, we discuss the problem of fermion mass hierarchies in an MSSM-
like Type IIA orientifolded model with U (3)× Sp (1)× U (1)× U (1) gauge symmetry obtained …

We extend the deformation theory algorithm of matrix factorizations to systems with more
than one D-brane. The obstructions to the deformations are F-term equations which can be …

We develop a non-planar topological vertex formalism and we use it to study the A-model
partition function Ztop of topological string on the class of toric Calabi–Yau threefolds (CY3) …

We briefly report on some recent progresses in the computation of B-brane superpotentials
for Type II strings compactified on Calabi–Yau manifolds, obtained by using a …