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arXiv · 2405.16615

Rough geometric integration

Ajay Chandra·Harprit Singh
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Abstract

We introduce a notion of distributional $k$-forms on $d$-dimensional manifolds which can be integrated against suitably regular $k$-submanifolds. Our approach combines ideas from Whitney's geometric integration [Whi57] with those of sewing approaches to rough integration [Gub04, FdLP06].

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Ajay Chandra, Harprit Singh. 2024-05-26. Rough geometric integration. https://arxiv.org/abs/2405.16615

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