A class of perverse schobers in Geometric Invariant Theory

Abstract

Perverse schobers are categorifications of perverse sheaves. We construct a perverse schober on a partial compactification of the stringy K & auml;hler moduli space (SKMS) associated by Halpern-Leistner and Sam to a quasi-symmetric representation X of a reductive group G, extending the local system of triangulated categories exhibited by them. The triangulated categories appearing in our perverse schober are subcategories of the derived category of the quotient stack X/G.