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Perverse schobers and Orlov equivalences
- Publication Year :
- 2022
-
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.<br />Comment: 32 pages, 2 figures, improvements based on the referee's comments
- Subjects :
- Mathematics - Algebraic Geometry
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2201.05902
- Document Type :
- Working Paper