The post discusses the visualization of differential forms on differential manifolds, targeting readers who are learning about differential forms. It emphasizes a practical approach to understanding differential forms with a focus on integration problems on manifolds, highlighting the necessity for additional structure beyond functions for integration. The visualization introduces concepts like covers of manifolds by atoms and discusses the role of differential forms in measuring areas. It also touches on the importance of transversality and orientations in understanding intersections and operations on manifolds. The emphasis is on building intuitive visualizations for complex mathematical concepts surrounding differential forms.
https://web.tecnico.ulisboa.pt/~ist189623/wordpress/2021/09/08/on-the-visualization-of-differential-forms/