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arXiv · 2210.09853

Rational curvature invariants for 2-complexes

Henry Wilton
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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.

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Henry Wilton. 2022-10-18. Rational curvature invariants for 2-complexes. https://arxiv.org/abs/2210.09853

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