English

Sheaves over complexes of groups and developability

Group Theory 2022-02-15 v1

Abstract

We define the notion of a sheaf over a complex of groups. As an application, we give a criterion for the developability of a complex of groups. When the developability is witnessed by a morphism to GL(V)\mathrm{GL}(V) for some VV, our criterion is a characterization of developability.

Keywords

Cite

@article{arxiv.2202.05899,
  title  = {Sheaves over complexes of groups and developability},
  author = {Joshua L. Faber},
  journal= {arXiv preprint arXiv:2202.05899},
  year   = {2022}
}

Comments

16 pages

R2 v1 2026-06-24T09:32:51.302Z