Perverse Schobers
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.
 Publication:

arXiv eprints
 Pub Date:
 November 2014
 arXiv:
 arXiv:1411.2772
 Bibcode:
 2014arXiv1411.2772K
 Keywords:

 Mathematics  Algebraic Geometry
 EPrint:
 36 pages, 5 figures