On smooth families of exact forms

Jesus F. Espinoza; Rafael Ramos

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arXiv · 1903.07830

On smooth families of exact forms

Jesus F. Espinoza·Rafael Ramos

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Abstract

For a smooth family of exact forms on a smooth manifold, an algorithm for computing a primitive family smoothly dependent on parameters is given. The algorithm is presented in the context of a diagram chasing argument in the \v{C}ech-de Rham complex. In addition, explicit formulas for such primitive family are presented.

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Jesus F. Espinoza, Rafael Ramos. 2019-03-19. On smooth families of exact forms. https://arxiv.org/abs/1903.07830

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