Relative index theory, determinants and torsion for open manifolds

Absolute Invariants for Open Manifolds and Bundles: Absolute Characteristic Numbers Index Theorems for Open Manifolds Non-linear Sobolev Structures Generalized Dirac Operators: Generalized Dirac Operators, Their Heat Kernel and Spectral Properties Duhamels Principle, Trace Class Conditions and Scattering Theory Trace Class Properties Relative Index Theory: Relative Index Theorems The Spectral Shift Function and the Scattering Index Relative Zeta Functions, Eta Functions, Determinants, Partition Functions of QFT and Torsion.