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Symmetry, Integrability and Geometry: Methods and Applications, 2025, Volume 21, 008, 33 pp.
DOI: https://doi.org/10.3842/SIGMA.2025.008 (Mi sigma2125) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Wall Crossing and the Fourier–Mukai Transform for Grassmann Flops

Nathan Priddisa, Mark Shoemakerb, Yaoxiong Wenc

a Department of Mathematics, 275 TMCB, Brigham Young University, Provo, UT 84602, USA
b Department of Mathematics, Colorado State University, 1874 Campus Delivery Fort Collins, CO 80523, USA
c School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, South Korea
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DOI: https://doi.org/10.3842/SIGMA.2025.008
URL: https://www.emis.de/journals/SIGMA/2025/008/
Abstract: 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.
Keywords: Fourier–Mukai, Grassmannian flops, wall-crossing, Gromov–Witten theory, variation of GIT.
Funding agency Grant number
Simons Foundation 586691
958189
Korea Institute for Advanced Study MG083902
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.
Received: April 26, 2024; in final form January 27, 2025; Published online February 6, 2025
Bibliographic databases:
Document Type: Article
MSC: 14N35, 14E16, 53D45
Language: English
Citation: Nathan Priddis, Mark Shoemaker, Yaoxiong Wen, “Wall Crossing and the Fourier–Mukai Transform for Grassmann Flops”, SIGMA, 21 (2025), 008, 33 pp.
Citation in format AMSBIB
\Bibitem{PriShoWen25}
\by Nathan~Priddis, Mark~Shoemaker, Yaoxiong~Wen
\paper Wall Crossing and the Fourier--Mukai Transform for Grassmann Flops
\jour SIGMA
\yr 2025
\vol 21
\papernumber 008
\totalpages 33
\mathnet{http://mi.mathnet.ru/sigma2125}
\crossref{https://doi.org/10.3842/SIGMA.2025.008}
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