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arXiv · 0911.3152

Diffeological Smoothness in Hodge Theory

Jiayong Li
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Abstract

On a compact, oriented, Riemannian manifold, the Hodge decomposition theorem associates a smooth primitive to any exact smooth form omega. In this paper, we show that given a smooth family of exact smooth forms omega(t), the family of associated primitives is also a smooth family with respect to t.

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Jiayong Li. 2009-11-16. Diffeological Smoothness in Hodge Theory. https://arxiv.org/abs/0911.3152

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