A class of perverse schobers in Geometric Invariant Theory
Algebraic Geometry
2019-09-06 v2 Representation Theory
Abstract
Perverse schobers are categorifications of perverse sheaves. We construct a perverse schober on a partial compactification of the stringy K\"ahler 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 established by them. The triangulated categories appearing in our perverse schober are subcategories of the derived category of the quotient stack X/G.
Keywords
Cite
@article{arxiv.1908.04213,
title = {A class of perverse schobers in Geometric Invariant Theory},
author = {Špela Špenko and Michel Van den Bergh},
journal= {arXiv preprint arXiv:1908.04213},
year = {2019}
}
Comments
17 pages, v2: minor tweaks