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math.AG2026
Structure of higher-genus open-closed Gromov--Witten theory of
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…
math.AG2025
Poincaré polynomials of moduli spaces of one-dimensional sheaves on the projective plane
Shuai Guo, Longting Wu, with an appendix by Miguel Moreira
Let denote the moduli space of stable one-dimensional sheaves on a del Pezzo surface , supported on curves of class with Euler characteristic one. We show that the div…