Comparison of Kähler quotients of torus actions

Xiangsheng Wang, Xiangdong Yang

Let $T$ be a torus with the complexification $T^{\mathbb{C}}$ and $(X,d{s}^2)$ a compact Kähler Hamiltonian $T$-manifold with the moment map $\hat{I}¦$ such that $T^{\mathbb{C}}$ acts…