Crepant transformation correspondence for simple Grassmannian flops

Let XX and XX' be the two varieties related by the simple Grassmannian flop under discussion, and let the isomorphism in Proposition prop_coh_isom\mathrm{prop\_coh\_isom} be the cohomological isomorphism associated with the flop. Crepant transformation correspondence. The isomorphism in Proposition prop_coh_isom\mathrm{prop\_coh\_isom} induces equalities between generating functions of ancestor Gromov–Witten invariants of XX and XX' after analytical continuation. This is the genus-zero crepant transformation correspondence for simple Grassmannian flops; the surrounding discussion explains that higher-genus ancestor theories can be identified via reconstruction, while the descendant correspondence requires additional care, especially concerning analytical continuation.

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Primary source

Jiun-Cheng Chen and Hsian-Hua Tseng, “Simple Grassmannian flops”, arXiv:2410.22668 (2025).

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