We study the relationship between derived categories of factorizations on gauged Landau–
Ginzburg models related by variations of the linearization in Geometric Invariant Theory …

We provide a factorization model for the continuous internal Hom, in the homotopy category
of k-linear dg-categories, between dg-categories of equivariant factorizations. This motivates …

Equivalence of the Derived Category of a Variety with a Singularity Category Page 1 M. Umut
Isik (2013) “Equivalence of Derived Category and Singularity Category,” International …

In this paper we prove the smoothness of the moduli space of Landau–Ginzburg models. We
formulate and prove a Bogomolov–Tian–Todorov theorem for the deformations of Landau …

This is an overview on derived nonhomogeneous Koszul duality over a field, mostly based
on the author's memoir L. Positselski, Memoirs of the American Math. Society 212 (2011) …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

We show that every flat quasi-coherent sheaf on a quasi-compact quasi-separated scheme
is a directed colimit of locally countably presentable flat quasi-coherent sheaves. More …

We give a purely algebraic construction of a cohomological field theory associated with a
quasihomogeneous isolated hypersurface singularity W and a subgroup G of the diagonal …

The concept of an abelian DG-category, introduced by the first-named author in arXiv:
2110.08237, unites the notions of abelian categories and (curved) DG-modules in a …

Given a quiver with potential $(Q, W) $, Kontsevich–Soibelman constructed a cohomological
Hall algebra (CoHA) on the critical cohomology of the stack of representations of $(Q, W) …