Perverse schobers and Orlov equivalences

Koseki, Naoki and Ouchi, Genki (2023) Perverse schobers and Orlov equivalences. EUROPEAN JOURNAL OF MATHEMATICS, 9 (2). 32-.

Access the full-text of this item by clicking on the Open Access link.

Official URL: http://dx.doi.org/10.1007/s40879-023-00628-x

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.

Item Type:	Article
Uncontrolled Keywords:	Perverse schobers, Calabi-Yau hypersurfaces, Mirror symmetry, Derived factorization categories
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	25 May 2023 10:16
Last Modified:	25 May 2023 10:16
DOI:	10.1007/s40879-023-00628-x
Open Access URL:	https://doi.org/10.1007/s40879-023-00628-x
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3170666