5 papers
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…
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…
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 d…
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…