Rational curvature invariants for 2-complexes

Authors :: Wilton, Henry
Publication Year :: 2022
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.<br />Comment: 66 pages, 2 figures, companion to arXiv:2210.09841. v2 minor edits. v3 incorporates referees' comments. This is the final version accepted for publication