6 papers
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 stru…
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…
Towards small quantum Chern character
Hua-Zhong Ke, Changzheng Li, Jiayu Song
We show a quantum version of Chern character homomorphism from the small quantum K-theory to the small quantum cohomology in the cases of projective spaces and incidence varieties,…
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…
Revisiting Gamma conjecture I: counterexamples and modifications
Sergey Galkin, Jianxun Hu, Hiroshi Iritani +3
We continue investigation of asymptotics of quantum differential equation for Fano manifolds, with a special regard to Gamma conjecture I and its underlying Conjecture $\mathcal{O}…