Perverse Schobers
Algebraic Geometry
2015-11-19 v2
Abstract
We suggest a possibility for a categorical generalization of the concept of a perverse sheaf, in which vector spaces are replaced by triangulated categories. We call such hypothetical objects perverse Schobers and consider several examples, giving a natural but ad hoc definition in each case. In the simplest case (perverse sheaves on a disk with one possible singular point) we propose, as a categorical analog, the data of a spherical functor.
Keywords
Cite
@article{arxiv.1411.2772,
title = {Perverse Schobers},
author = {Mikhail Kapranov and Vadim Schechtman},
journal= {arXiv preprint arXiv:1411.2772},
year = {2015}
}
Comments
36 pages, 5 figures