56 citations · 642 across the 79 of their papers we have counts for
5 papers · 1 filter
Gopakumar-Vafa BPS invariants, Hilbert schemes and quasimodular forms. I
Shuai Guo, Jian Zhou
We prove a closed formula for leading Gopakumar- Vafa BPS invariants of local Calabi-Yau geometries given by the canonical line bundles of toric Fano surfaces. It shares some simil…
Quantum Mirror Curves for and the Resolved Confiold
Jian Zhou
We establish a conjecture of Gukov and Sułkowski in the following three cases: Lambert curve for Hurwitz numbers, framed mirror curve of , and the framed mirror curv…
Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
Jian Zhou
We establish the Airy curve case of a conjecture of Gukov and Sułkowski by reducing to Dijkgraaf-Verlinde-Verlinde Virasoro constraints satisfied by the intersection numbers on mod…
Fermionic gluing principle of the topological vertex
Fusheng Deng, Jian Zhou
We will establish the fermionic gluing principle of the topological vertex, that is, provided the framed ADKMV conjecture, the generating functions of the Gromov-Witten invariants…
On fermionic representation of the Gromov-Witten invariants of the resolved Conifold
Fusheng Deng, Jian Zhou
We prove that the fermionic form of the generating function of the Gromov-Witten invariants of the resolved conifold is a Bogoliubov transform of the fermionic vacuum; in particula…