Topology in 4D simplicial quantum gravity

We simulate 4d simplicial gravity for three topologies S4, S3 × S1 and S1 × S1 × S1 × S1 and show that the free energy for these three fixed topology ensembles is the same in the thermodynamic limit N4 → ∞. We show, that the next-to-leading order corrections, at least away from the critical point, can be described by kinematic sources.