Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910815783747584 |
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| author | Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong |
| author_facet | Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong |
| contents | We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-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 $K$-theory. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2404_12303 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops Priddis, Nathan Shoemaker, Mark Wen, Yaoxiong Algebraic Geometry 14N35, 14E16, 53D45 We prove the crepant transformation conjecture for relative Grassmann flops over a smooth base $B$. We show that the $I$-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 $K$-theory. |
| title | Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops |
| topic | Algebraic Geometry 14N35, 14E16, 53D45 |
| url | https://arxiv.org/abs/2404.12303 |