Perverse schobers and Orlov equivalences
Algebraic Geometry
2022-11-01 v2
Abstract
A perverse schober is a categorification of a perverse sheaf proposed by Kapranov--Schechtman. In this paper, we construct examples of perverse schobers on the Riemann sphere, which categorify the intersection complexes of natural local systems arising from the mirror symmetry for Calabi-Yau hypersurfaces. The Orlov equivalence plays a key role for the construction.
Keywords
Cite
@article{arxiv.2201.05902,
title = {Perverse schobers and Orlov equivalences},
author = {Naoki Koseki and Genki Ouchi},
journal= {arXiv preprint arXiv:2201.05902},
year = {2022}
}
Comments
32 pages, 2 figures, improvements based on the referee's comments