Examples of geometric transition in low dimensions
Geometric Topology
2021-06-23 v1
Abstract
The purpose of this note is to discuss examples of geometric transition from hyperbolic structures to half-pipe and Anti-de Sitter structures in dimensions two, three and four. As a warm-up, explicit examples of transition to Euclidean and spherical structures are presented. No new results appear here; nor an exhaustive treatment is aimed. On the other hand, details of some elementary computations are provided to explain certain techniques involved. This note, and in particular the last section, can also serve as an introduction to the ideas behind the four-dimensional construction of [RS19].
Cite
@article{arxiv.2004.03776,
title = {Examples of geometric transition in low dimensions},
author = {Andrea Seppi},
journal= {arXiv preprint arXiv:2004.03776},
year = {2021}
}
Comments
26 pages, 18 figures. To appear in: Actes du s\'eminaire de Th\'eorie Spectrale et G\'eom\'etrie