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arXiv · 2201.05902

Perverse schobers and Orlov equivalences

Naoki Koseki·Genki Ouchi
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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.

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Naoki Koseki, Genki Ouchi. 2022-01-15. Perverse schobers and Orlov equivalences. https://arxiv.org/abs/2201.05902

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