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arXiv · 2503.17130

Persistent cohomology operations and Gromov-Hausdorff estimates

Anibal M. Medina-Mardones·Ling Zhou
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Abstract

We establish the foundations of the theory of persistent cohomology operations, derive decomposition formulas for wedge sums and products, and prove their Gromov-Hausdorff stability. We use these results to construct pairs of Riemannian pseudomanifolds for which the Gromov-Hausdorff estimates derived from persistent cohomology operations are strictly sharper than those obtained using persistent homology.

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BibTeXRIS

Anibal M. Medina-Mardones, Ling Zhou. 2025-03-21. Persistent cohomology operations and Gromov-Hausdorff estimates. https://arxiv.org/abs/2503.17130

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