Lectures on perverse sheaves on instanton moduli spaces
Representation Theory
2016-11-08 v3 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
Differential Geometry
math.MP
Abstract
I will explain my joint paper `Instantons moduli spaces and W-algebras' with A.Braverman, M.Finkelberg, arXiv:1406.2381. I will concentrate on the geometric part, that is a study of perverse sheaves on instanton moduli spaces. I place a particular emphasize on the hyperbolic restriction functor and stable envelop, which are our key tools, and appear also in other situations in geometric representation theory. These are lecture notes for a course in 2015 PCMI.
Cite
@article{arxiv.1604.06316,
title = {Lectures on perverse sheaves on instanton moduli spaces},
author = {Hiraku Nakajima},
journal= {arXiv preprint arXiv:1604.06316},
year = {2016}
}
Comments
52 pages; v.2 editted according to the referee's suggestions, 57pages; v.3 references to theorems, sections in [12] are updated according to update of [12]