books.google.com - Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge...https://books.google.com/books/about/Geometry_of_Differential_Forms.html?id=5N33Of2RzjsC&utm_source=gb-gplus-shareGeometry of Differential Forms