Geometry and categorification
Algebraic Geometry
2022-11-18 v1 Category Theory
Representation Theory
Abstract
We describe a number of geometric contexts where categorification appears naturally: coherent sheaves, constructible sheaves and sheaves of modules over quantizations. In each case, we discuss how "index formulas" allow us to easily perform categorical calculations, and readily relate classical constructions of geometric representation theory to categorical ones.
Cite
@article{arxiv.1602.05992,
title = {Geometry and categorification},
author = {Ben Webster},
journal= {arXiv preprint arXiv:1602.05992},
year = {2022}
}
Comments
23 pages. an expository article to appear in "Perspectives on Categorification."