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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212883 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| Summary: | 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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| ISSN: | 1815-0659 |