The adjoint Reidemeister torsion for compact 3-manifolds admitting a unique decomposition

Abstract

Let M be a triangulated, oriented, connected compact 3-manifold with a connected nonempty boundary. Such a manifold admits a unique decomposition into o-prime 3-manifolds. In this paper, we show that the adjoint Reidemeister torsion has a multiplicative property on the disk sum decomposition of compact 3-manifolds without a corrective term.