6 papers
Gamma conjectures for Milnor hypersurfaces
Jianxun Hu, Hua-Zhong Ke, Changzheng Li +1
We prove Gamma conjectures I and II of Galkin, Golyshev and Iritani for Milnor hypersurfaces, the smooth hypersurfaces of bidegree in the product of two projective spaces.…
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…
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{…
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}…