Double, \"uber and poset homology
Algebraic Topology
2026-03-24 v1
Abstract
We present a comparison map between the uberhomology of a simplicial complex and the double homology of its associated moment-angle complex . We show these two homology theories differ at three bidegrees, which depend on whether the complex is neighbourly or not.
Cite
@article{arxiv.2510.10424,
title = {Double, \"uber and poset homology},
author = {Carlos Gabriel Valenzuela Ruiz},
journal= {arXiv preprint arXiv:2510.10424},
year = {2026}
}