Gromov-Witten Theory of Toric Birational Transformations
作者： Pedro Acosta , Mark Shoemaker
DOI: 10.1093/IMRN/RNZ001
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摘要: We investigate the effect of a general toric wall crossing on genus zero Gromov-Witten theory. Given two complete orbifolds $X_+$ and $X_-$ related by under variation GIT, we prove that their respective $I$-functions are linear transformation asymptotic expansion. use this comparison to deduce similar result for birational intersections in $X_-$. This extends work previous authors Acosta-Shoemaker case varieties, generalizes some results Coates-Iritani-Jiang crepant conjecture setting non-zero discrepancy.
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