Rational curvature invariants for 2-complexes
arXiv:2210.09853
Abstract
New invariants for 2-dimensional cell complexes are defined, which can be interpreted as curvature bounds. These invariants are proved to be rational and computable in a companion article. This document is a survey that collects theorems about these invariants, computes examples, and lays out a programme of conjectures.
66 pages, 2 figures, companion to arXiv:2210.09841. v2 minor edits. v3 incorporates referees' comments. This is the final version accepted for publication