Kähler complexity one Hamiltonian $T$-manifolds have trivial paintings

Isabelle Charton, Liat Kessler, Susan Tolman

Let a torus $T$ act on a symplectic manifold $(M,\omega )$ with moment map $\varphi$. We say that the Hamiltonian $T$-manifold $(M,\omega ,\varphi )$ has complexity one if $\frac{1}{2}\dim M-\dim T=1$…