A Kähler structure for the $\mathrm{PU}(2,1)$ configuration space of four points in $S^3$

Ioannis D. Platis, Li-Jie Sun

We show that an open subset ${\mathfrak{F}}_4^{\prime \prime }$ of the $\mathrm{PU}(2,1)$ configuration space of four points in $S^3$ is in bijection with an open subset of %with a Kähler structure w…