7 papers
Virasoro Constraints for Orbifold Curves
Jianxun Hu, Pengrong Jin, Hua-Zhong Ke +3
We prove the Virasoro constraints for the relative Gromov--Witten theory of all smooth projective effective orbifold curves, allowing relative conditions at ordinary points. The ab…
Gamma conjecture II via global Gamma-I
Jianxun Hu, Hua-Zhong Ke, Changzheng Li +1
For a Fano manifold , Gamma conjecture II aims to use to describe the asymptotic behavior of its Dubrovin connection via -integral struc…
Exponential concentration for quantum periods via mirror symmetry
Jingwei Lu, Hua-Zhong Ke, Jianxun Hu
We investigate power series satisfying the exponential concentration property, and show that suitable modifications of hypergeometric series respect this property. As a geometric a…
On the quantum cohomology of blow-ups of four-dimensional quadrics
Jianxun Hu, Huazhong Ke, Changzheng Li +1
We propose a conjecture relevant to Galkin's lower bound conjecture, and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane. We also sh…
Mirror symmetry for certain blowups of Grassmannians
Jianxun Hu, Huazhong Ke, Changzheng Li +1
We classify when the blowup of a complex Grassmannian along a smooth Schubert subvariety is Fano. We compute almost all the two-point, genus zero Gromov-Witten invari…
On Galkin's Lower Bound Conjecture
Jianxun Hu, Huazhong Ke, Changzheng Li +1
We estimate an upper bound of the spectral radius of a linear operator on the quantum cohomology of the toric Fano manifolds $\mathbb{P}_{\mathbb{P}^{n}}(\mathcal{O}\oplus\mathcal{…