Explicit Lie bracket of closed geodesics on a hyperbolic surface with applications
Geometric Topology
2023-08-07 v1
Abstract
In this note we develop a tool box of non-Euclidean plane geometry methods that yield a constructive way to define in terms of closed geodesics the Goldman bracket on deformation classes of closed, directed curves. We use this construction to algebraically characterize closed geodesics without self-intersection on hyperbolic surfaces.
Keywords
Cite
@article{arxiv.2308.02006,
title = {Explicit Lie bracket of closed geodesics on a hyperbolic surface with applications},
author = {Moira Chas and Arpan Kabiraj},
journal= {arXiv preprint arXiv:2308.02006},
year = {2023}
}
Comments
18 pages, 12 figures. Comments are welcome