English

Trace field degrees of Abelian differentials

Geometric Topology 2025-12-15 v2 Dynamical Systems

Abstract

We prove that every even number 22d2g2 \le 2d \le 2g is realised as the degree of a Thurston-Veech pseudo-Anosov stretch factor in every connected component of every stratum of the moduli space of Abelian differentials.

Cite

@article{arxiv.2202.05547,
  title  = {Trace field degrees of Abelian differentials},
  author = {Erwan Lanneau and Livio Liechti},
  journal= {arXiv preprint arXiv:2202.05547},
  year   = {2025}
}

Comments

26 pages, 9 figures

R2 v1 2026-06-24T09:31:47.263Z