目次

Introduction and Main Results.- Morse vs DG Morse Homology Toolset.- Comparison of the Barraud-Cornea Cocycle and the Brown Cocycle.- Algebraic Properties of Twisted Complexes.- Morse Homology with DG-Coefficients: Construction.- Morse Homology with DG-Coefficients: Invariance.- Fibrations.- Functoriality: General Properties.- Functoriality: First Definition.- Functoriality: Second Definition. Cohomology and Poincaré Duality.- Shriek Maps and Poincaré Duality for Non-Orientable Manifolds.- Beyond the Case of Manifolds of Finite Dimension.- Appendix: Comparison of Geometry and Analytic Orientations in Morse Theory.