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- W2948014727 abstract "We introduce a global Landau-Ginzburg model which is mirror to several toric Deligne-Mumford stacks and describe the change of the Gromov-Witten theories under discrepant transformations. We prove a formal decomposition of the quantum cohomology D-modules (and of the all-genus Gromov-Witten potentials) under a discrepant toric wall-crossing. In the case of weighted blowups of weak-Fano compact toric stacks along toric centres, we show that an analytic lift of the formal decomposition corresponds, via the $widehat{Gamma}$-integral structure, to an Orlov-type semiorthogonal decomposition of topological $K$-groups. We state a conjectural functoriality of Gromov-Witten theories under discrepant transformations in terms of a Riemann-Hilbert problem." @default.
- W2948014727 created "2019-06-07" @default.
- W2948014727 creator A5026518201 @default.
- W2948014727 date "2020-04-22" @default.
- W2948014727 modified "2023-10-17" @default.
- W2948014727 title "Global Mirrors and Discrepant Transformations for Toric Deligne-Mumford Stacks" @default.
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- W2948014727 doi "https://doi.org/10.3842/sigma.2020.032" @default.
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