Perverse schobers and Orlov equivalences.

IF 0.5 Q3 MATHEMATICS

European Journal of Mathematics Pub Date : 2023-01-01 DOI:10.1007/s40879-023-00628-x

Naoki Koseki, Genki Ouchi

引用次数: 1

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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反常的学派和奥尔洛夫等同。

反常舍伯是Kapranov-Schechtman提出的对反常束的一种分类。在本文中，我们构造了Riemann球上的反常子的例子，它们分类了由Calabi-Yau超曲面的镜像对称产生的自然局部系统的交复合体。Orlov等价在构建过程中起着关键作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

European Journal of Mathematics MATHEMATICS-

CiteScore

1.00

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0.00%

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期刊介绍： The European Journal of Mathematics (EJM) is an international journal that publishes research papers in all fields of mathematics. It also publishes research-survey papers intended to provide nonspecialists with insight into topics of current research in different areas of mathematics. The journal invites authors from all over the world. All contributions are required to meet high standards of quality and originality. EJM has an international editorial board. Coverage in EJM will include: - Algebra - Complex Analysis - Differential Equations - Discrete Mathematics - Functional Analysis - Geometry and Topology - Mathematical Logic and Foundations - Number Theory - Numerical Analysis and Optimization - Probability and Statistics - Real Analysis.