1 Table of Contents: “... Universal Coefficient Theorem for Homology; Chapter 7 Cohomology; Chapter 8 Homology of Manifolds; Chapter 9...”

2 Table of Contents: “...; 7.8 Exercises; 8 de Rham Cohomology; 8.1 Linear and homological algebra constructions; 8.2 Definition...”

3 Table of Contents: “... 8: Lorentz Geometry and Harmonic Vector Fields Appendix A: Twisted Cohomologies Appendix B...”

4 Table of Contents: “... -- 6.1. Spectral curves -- 6.2. Cohomological deformation theory -- 6.3. Mittag-Leffler problem -- 6.4...”