Holed cone structures on 3-manifolds
Geometric Topology
2025-06-04 v2
Abstract
We introduce holed cone structures on 3-manifolds to generalize cone structures. In the same way as a cone structure, a holed cone structure induces the holonomy representation. We consider the deformation space consisting of the holed cone structures on a 3-manifold whose holonomy representations are irreducible. This deformation space for positive cone angles is a covering space on a reasonable subspace of the character variety.
Keywords
Cite
@article{arxiv.2210.14765,
title = {Holed cone structures on 3-manifolds},
author = {Ken'ichi Yoshida},
journal= {arXiv preprint arXiv:2210.14765},
year = {2025}
}
Comments
20 pages, 4 figures