English

Rough geometric integration

Differential Geometry 2025-12-16 v2 Functional Analysis

Abstract

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

Keywords

Cite

@article{arxiv.2405.16615,
  title  = {Rough geometric integration},
  author = {Ajay Chandra and Harprit Singh},
  journal= {arXiv preprint arXiv:2405.16615},
  year   = {2025}
}

Comments

Typos fixed, published version

R2 v1 2026-06-28T16:40:55.465Z