The present work shows that magnetic quivers encode the necessary information for
determining the Drinfeld center in the symmetry topological field theory constructions …

We establish a system of formal noncommutative calculus for differential forms and
polyvector fields, which forms the foundations for the study of pre-Calabi-Yau categories …

This introductory work combines bottom-up and top-down approaches towards
understanding the underlying categorical structure of possible unifying theories descending …

We study the derived representation scheme DRepn (A) parametrizing the n-dimensional
representations of an associative algebra A over a field of characteristic zero. We show that …

We consider the derived category Db G (V) of coherent sheaves on a complex vector space
V equivariant with respect to an action of a finite reflection group G. In some cases, including …

Some 15 years ago M. Kontsevich and A. Rosenberg proposed a heuristic principle
according to which the family of schemes {Repn (A)} parametrizing the finite-dimensional …

Recantly, William Crawley-Boevey proposed the definition of a Poisson structure on a
noncommutative algebra $ A $ based on the Kontsevich principle. His idea was to find the …

We study the moduli of G-local systems on smooth but not necessarily proper complex
algebraic varieties. We show that, when considered as derived algebraic stacks, they carry …

This paper is a sequel to [Adv. Math. 245 (2013), 625–689], where we study the derived
affine scheme DRep n (A) parametrizing the n-dimensional representations of an …

This is the first in a series of papers, where we introduce and study topological spaces that
realize the algebras of quasi-invariants of finite reflection groups. Our result can be viewed …