How highly connected can an orbifold be?
Differential Geometry
2021-12-30 v1
Abstract
On the one hand, we provide the first examples of arbitrarily highly connected (compact) bad orbifolds. On the other hand, we show that n-connected n-orbifolds are manifolds. The latter improves the best previously known bound of Lytchak by roughly a factor of 2. For compact orbifolds and in most dimensions we prove slightly better bounds. We obtain sharp results up to dimension 5.
Keywords
Cite
@article{arxiv.2112.14634,
title = {How highly connected can an orbifold be?},
author = {Christian Lange and Marco Radeschi},
journal= {arXiv preprint arXiv:2112.14634},
year = {2021}
}