Finite Stature in Graphs of Cube Complexes with Cyclonormal Edges
Abstract
Given a compact cube complex $X$ that splits as a graph of virtually special cube complexes. Suppose that the fundamental groups of edge spaces are cyclonormal in the fundamental groups of adjacent vertex spaces. We show that $π_1X$ has finite stature with respect to vertex groups in the sense of Huang-Wise. In particular, when vertex groups are hyperbolic, this allows us to deduce virtual specialness of $X$.
Fields of Study & Subjects
Geometric and Algebraic Topology
Topological and Geometric Data Analysis
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 3 January 2026
- Document type
- Preprint