Quantum Cohomology of Toric Blowups and Landau-Ginzburg Correspondences
作者： Mark Shoemaker , Pedro Acosta
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摘要: We establish a genus zero correspondence between the equivariant Gromov-Witten theory of Deligne-Mumford stack $[\mathbb{C}^N/G]$ and its blowup at origin. The relationship generalizes crepant transformation conjecture Coates-Iritani-Tseng Coates-Ruan to discrepant (non-crepant) setting using asymptotic expansion. Using this result together with quantum Serre duality MLK we prove LG/Fano LG/general type correspondences for hypersurfaces.
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