Torsions for Manifolds with Boundary and Glueing Formulas

摘要

We extend the definition of analytic and Reidemeister torsion from closed compactRiemannian manifolds to compact Riemannian manifolds with boundary (M, alpha M), given a parallel flat bundle F of A-Hilbert modules of finite type and a decomposition of the boundary alpha M = alpha-M contained in the set of alpha + M into disjoint components.