Torsion functions on moduli spaces in view of the cluster algebra

Takahiro Kitayama, Yuji Terashima

We introduce non-acyclic $PG{L}_n(\mathbb{C})$-torsion of a 3-manifold with toroidal boundary as an extension of J. Porti's $PG{L}_2(\mathbb{C})$-torsion, and present an explicit formu…