Estimating the dimension of Thurston spine
Geometric Topology
2023-10-25 v1
Abstract
For g at least 2, the Thurston spine Pg is the subspace of Teichmueller space Tg , consisting of the marked surfaces for which the set of shortest curves, the systoles, cuts the surface into polygons. Our main result is the existence of an infinite set A of integers such that codim Pg is a o(g/ log g), when g varies over A. This proves the recent conjecture of M. Fortier Bourque.
Keywords
Cite
@article{arxiv.2310.15618,
title = {Estimating the dimension of Thurston spine},
author = {Olivier Mathieu},
journal= {arXiv preprint arXiv:2310.15618},
year = {2023}
}
Comments
27 pages, 7 figures