The Weil-Petersson form on an acyclic cluster variety
arXiv:1103.2341
Abstract
The Weil-Petersson form on a cluster variety is a 2-form on a certain open smooth subvariety; the union of the cluster tori. We show that for acyclic cluster varieties, the Weil-Petersson 2-form extends to a regular Kähler 2-form on the entire cluster variety.
10 pages