4 citations · 6 across the 4 of their papers we have counts for
5 papers
Lagrangian families of Bridgeland moduli spaces from Gushel-Mukai fourfolds
Soheyla Feyzbakhsh, Hanfei Guo, Zhiyu Liu +1
Let be a very general Gushel-Mukai (GM) variety of dimension , and let be a smooth hyperplane section. There are natural pull-back and push-forward functors betwee…
Castelnuovo bound and higher genus Gromov-Witten invariants of quintic 3-folds
Zhiyu Liu, Yongbin Ruan
We prove a conjectural vanishing result for Gopakumar--Vafa invariants of quintic 3-folds, referred to as Castelnuovo bound in the literature. Furthermore, we calculate Gopakumar--…
Cutting sequence and Sturmian sequence in billiard
Zhiyu Liu
The winning rule of billiards is to drive the billiard ball on the table into the designated holes. We try to study the trajectory of the billiard ball, so that we can predict the…
A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples
Hanfei Guo, Zhiyu Liu, Shizhuo Zhang
We propose two conjectures on a moduli theoretic approach to constructing Lagrangian subvarieties of hyperkähler varieties arising from the Kuznetsov components of cubic fourfolds…
A note on Bridgeland moduli spaces and moduli spaces of sheaves on and
Zhiyu Liu, Shizhuo Zhang
We study Bridgeland moduli spaces of semistable objects of -classes and -classes in the Kuznetsov components on index one prime Fano threefold of degree $4d+…