Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence
The Pfaffian-Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi-Yau 3-folds. Given such a pair, I construct a set of derived equivalences corresponding to mutations of an exceptional collection on the relevant Grassmannian, and give a mirror symmetry interp...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211321 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence. Will Donovan. SIGMA 17 (2021), 028, 22 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862632770529918976 |
|---|---|
| author | Donovan, Will |
| author_facet | Donovan, Will |
| citation_txt | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence. Will Donovan. SIGMA 17 (2021), 028, 22 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The Pfaffian-Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi-Yau 3-folds. Given such a pair, I construct a set of derived equivalences corresponding to mutations of an exceptional collection on the relevant Grassmannian, and give a mirror symmetry interpretation, following a physical analysis of Eager, Hori, Knapp, and Romo.
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| first_indexed | 2026-03-14T20:49:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211321 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T20:49:20Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Donovan, Will 2025-12-29T11:11:01Z 2021 Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence. Will Donovan. SIGMA 17 (2021), 028, 22 pages 1815-0659 2020 Mathematics Subject Classification: 14F08; 14J32; 14M15; 18G80; 81T30 arXiv:2009.12630 https://nasplib.isofts.kiev.ua/handle/123456789/211321 https://doi.org/10.3842/SIGMA.2021.028 The Pfaffian-Grassmannian correspondence relates certain pairs of derived equivalent non-birational Calabi-Yau 3-folds. Given such a pair, I construct a set of derived equivalences corresponding to mutations of an exceptional collection on the relevant Grassmannian, and give a mirror symmetry interpretation, following a physical analysis of Eager, Hori, Knapp, and Romo. In celebration of his 77th birthday, I am pleased to express my gratitude to Kyoji Saito for his kindness and interest over the years. I also want to thank N. Addington and E. Segal for the great experience of working on our paper [1], of which this work is a continuation. I amsupported by the Yau MSC, Tsinghua University, and the Thousand Talents Plan. I also acknowledge the support of WPI Initiative, MEXT, Japan, and of EPSRC Programme Grant EP/R034826/1. I am grateful for conversations with K. Hori, who made me aware of the windows used here, for discussions with R. Eager, A. Kuznetsov, and M. Romo, and for helpful suggestions from anonymous referees. In the last stage of this project, I was away from my home institution due to the coronavirus pandemic, so I am especially appreciative of hospitality and support from Kavli IPMU, in particular Y. Ito and M. Kapranov, and from B. Kim at KIAS, and M. Wemyss at Glasgow University. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence Article published earlier |
| spellingShingle | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence Donovan, Will |
| title | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence |
| title_full | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence |
| title_fullStr | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence |
| title_full_unstemmed | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence |
| title_short | Stringy Kähler Moduli for the Pfaffian-Grassmannian Correspondence |
| title_sort | stringy kähler moduli for the pfaffian-grassmannian correspondence |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211321 |
| work_keys_str_mv | AT donovanwill stringykahlermoduliforthepfaffiangrassmanniancorrespondence |