1 Table of Contents: “...Prologue -- 1 Complex-Analytic Spaces and Elements -- 2 The Weierstrass Preparation Theorem and Its...”

2 Table of Contents: “... and the Seiberg–Witten Invariant -- 11 Lattice Cohomology -- 12 Appendix. Complex Analytic Spaces -- References...”

3 “... complex analytic space, the De Rham cohmomology of varieties over a field of zero characteristic, Hodge...”

4 Table of Contents: “... Analytic Space -- B Line Bundles and Factors of Automorphy -- Bibliograpy -- Glossary of Notation...”

5 Table of Contents: “... Complex Analytic Space -- 2 Comparison of the Algebraic and Analytic Categories -- 3 When is a Compact...”

6 Table of Contents: “...Differential Forms, Cycles and Hodge Theory on Complex Analytic Spaces -- On Exact Solutions...”

7 Table of Contents: “... Analytic Spaces -- Riemann Surfaces with the Absolute AB-maximum Principle -- A Remark on Non-compact...”

8 Table of Contents: “.... Algebraic Varieties and Complex Analytic Spaces -- B. Line Bundles and Factors of Automorphy -- C. Some...”

9 “... proofs. Finally, in an appendix, the notion of equimultiplicity for complex analytic spaces is given a...”