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arXiv · 2510.10424

Double, \"uber and poset homology

Carlos Gabriel Valenzuela Ruiz
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Abstract

We present a comparison map between the uberhomology of a simplicial complex $\mathcal{K}$ and the double homology of its associated moment-angle complex $\mathcal{Z}_{\mathcal{K}}$. We show these two homology theories differ at three bidegrees, which depend on whether the complex $K$ is neighbourly or not.

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Carlos Gabriel Valenzuela Ruiz. 2025-10-12. Double, \"uber and poset homology. https://arxiv.org/abs/2510.10424

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