Perverse schobers and Orlov equivalences

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 hypersur...

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Detalles Bibliográficos
Autores principales: Koseki, Naoki, Ouchi, Genki
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10147795/
https://www.ncbi.nlm.nih.gov/pubmed/37131505
http://dx.doi.org/10.1007/s40879-023-00628-x
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author Koseki, Naoki
Ouchi, Genki
author_facet Koseki, Naoki
Ouchi, Genki
author_sort Koseki, Naoki
collection PubMed
description 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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spelling pubmed-101477952023-04-30 Perverse schobers and Orlov equivalences Koseki, Naoki Ouchi, Genki Eur J Math Research Article 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. Springer International Publishing 2023-04-28 2023 /pmc/articles/PMC10147795/ /pubmed/37131505 http://dx.doi.org/10.1007/s40879-023-00628-x Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research Article
Koseki, Naoki
Ouchi, Genki
Perverse schobers and Orlov equivalences
title Perverse schobers and Orlov equivalences
title_full Perverse schobers and Orlov equivalences
title_fullStr Perverse schobers and Orlov equivalences
title_full_unstemmed Perverse schobers and Orlov equivalences
title_short Perverse schobers and Orlov equivalences
title_sort perverse schobers and orlov equivalences
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10147795/
https://www.ncbi.nlm.nih.gov/pubmed/37131505
http://dx.doi.org/10.1007/s40879-023-00628-x
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