Shuai Guo

activity

20232026

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math.AG2026

Structure of higher-genus open-closed Gromov--Witten theory of $O_{P^{1}} (p - 1) \oplus O_{P^{1}} (- p - 1)$

Shuai Guo, Jingyi Xu, Qingsheng Zhang

We study the closed and open Gromov--Witten potentials of the toric Calabi--Yau threefold $$ X_p=\operatorname{Tot}\bigl(\mathcal{O}_{\mathbb{P}^{1}}(p-1)\oplus\mathcal{O}_{\mathbb…

math.AG2026

Wall-crossing formula and genus-one Virasoro conjecture for Fano complete intersections

Shuai Guo, Qingsheng Zhang, Yang Zhou

The Virasoro conjecture predicts a set of universal relations among all genera Gromov--Witten invariants of any smooth projective variety. The conjecture is well understood for sem…

Structure of higher-genus open-closed Gromov--Witten theory of OP1​(p−1)⊕OP1​(−p−1)

Wall-crossing formula and genus-one Virasoro conjecture for Fano complete intersections

Structure of higher-genus open-closed Gromov--Witten theory of $O_{P^{1}} (p - 1) \oplus O_{P^{1}} (- p - 1)$