Steenrod operations for $4$-dimensional toric orbifolds
Algebraic Topology
2025-03-28 v2
Abstract
We prove necessary and sufficient conditions for the existence of non-trivial Steenrod actions on the mod- cohomology of 4-dimensional toric orbifolds. As applications, the stable homotopy type and the gauge groups of a -dimensional toric orbifold are determined, a partial solution to the cohomological rigidity problem for -dimensional toric orbifolds is provided, and, in the smooth case, a combinatorial criterion is established for when the toric orbifold is spin.
Cite
@article{arxiv.2501.07907,
title = {Steenrod operations for $4$-dimensional toric orbifolds},
author = {Tseleung So},
journal= {arXiv preprint arXiv:2501.07907},
year = {2025}
}