7 papers
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…
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…
Virasoro constraints for topological recursion
Shuai Guo, Qingsheng Zhang
This is the second paper in a series on {\it Virasoro constraints for Cohomological Field Theory}. We derive the ancestor Virasoro constraints for the topological recursion (TR) fo…
Cohomological Field Theory with vacuum and its Virasoro constraints
Shuai Guo, Qingsheng Zhang
This is the first part of a series of papers on {\it Virasoro constraints for Cohomological Field Theory (CohFT)}. For a CohFT with vacuum, we introduce the concepts of -calibra…
The bilinear fermionic form for KP and BKP hierarchies
Shuai Guo, Ce Ji, Chenglang Yang
For a tau-function of the KP or BKP hierarchy, we introduce the notion of lifting operator and derive an equation connecting the corresponding fermionic two-point function and ferm…
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…
A generalization of the Witten conjecture through spectral curve
Shuai Guo, Ce Ji, Qingsheng Zhang
We propose a generalization of the Witten conjecture, which connects a descendent enumerative theory with a specific reduction of KP integrable hierarchy. Our conjecture is realize…