The Weil-Petersson form on an acyclic cluster variety

Details The Weil-Petersson form on an acyclic cluster variety The Weil-Petersson form on an acyclic cluster variety

2011-03-11

arxiv.org/abs/1103.2341v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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 K\"ahler
2-form on the entire cluster variety.

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