Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor
Geometric Topology
2023-09-13 v2
Abstract
We prove that in the non-orientable setting, the minimal stretch factor of a pseudo-Anosov homeomorphism of a surface of genus with a fixed number of punctures is asymptotically on the order of . Our result adapts the work of Yazdi to non-orientable surfaces. We include the details of Thurston's theory of fibered faces for non-orientable 3-manifolds.
Keywords
Cite
@article{arxiv.2107.04068,
title = {Pseudo-Anosov homeomorphisms of punctured non-orientable surfaces with small stretch factor},
author = {Sayantan Khan and Caleb Partin and Rebecca R. Winarski},
journal= {arXiv preprint arXiv:2107.04068},
year = {2023}
}
Comments
Accepted to Algebraic and Geometric Topology. Statement (1) on page 11 is revised, typos corrected