Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that the symplectic transformation is compatible with Iritani&#...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2025 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2025
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212883 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops. Nathan Priddis, Mark Shoemaker and Yaoxiong Wen. SIGMA 21 (2025), 008, 33 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710027059462144 |
|---|---|
| author | Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong |
| author_facet | Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong |
| citation_txt | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops. Nathan Priddis, Mark Shoemaker and Yaoxiong Wen. SIGMA 21 (2025), 008, 33 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that the symplectic transformation is compatible with Iritani's integral structure, that is, that it is induced by a Fourier-Mukai transform in -theory.
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| first_indexed | 2026-03-19T11:13:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212883 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T11:13:08Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong 2026-02-13T13:50:33Z 2025 Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops. Nathan Priddis, Mark Shoemaker and Yaoxiong Wen. SIGMA 21 (2025), 008, 33 pages 1815-0659 2020 Mathematics Subject Classification: 14N35; 14E16; 53D45 arXiv:2404.12303 https://nasplib.isofts.kiev.ua/handle/123456789/212883 https://doi.org/10.3842/SIGMA.2025.008 We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base . We show that the -functions of the respective GIT quotients are related by analytic continuation and a symplectic transformation. We verify that the symplectic transformation is compatible with Iritani's integral structure, that is, that it is induced by a Fourier-Mukai transform in -theory. We would like to thank Tom Coates, Wendelin Lutz, Jeongseok Oh, Yongbin Ruan, Ed Segal, Qaasim Shafi, and Rachel Webb for the useful discussions. We also thank the anonymous referees for valuable comments and suggestions on a previous draft. N. Priddis is supported by the Simons Foundation Travel Grant 586691. M. Shoemaker is supported by the Simons Foundation Travel Grant 958189. Y. Wen is supported by a KIAS Individual Grant (MG083902) at the Korea Institute for Advanced Study. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops Article published earlier |
| spellingShingle | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong |
| title | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| title_full | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| title_fullStr | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| title_full_unstemmed | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| title_short | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| title_sort | wall crossing and the fourier-mukai transform for grassmann flops |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212883 |
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