Global structure of Witten's 2+1 gravity on $\mathbf{R}\times T^2$

Jorma Louko, Donald Marolf

We investigate the space $\mathcal{M}$ of classical solutions to Witten's formulation of 2+1 gravity on the manifold $\mathbf{R}\times T^2$. $\mathcal{M}$ is connected, but neither Hausdor…