English

All Teichmuller spaces are not starlike

Complex Variables 2024-07-26 v1

Abstract

This paper is the final step in solving the problem of starlikeness of Teichmuller spaces in Bers' embedding. This step concerns the case of finite dimensional Teichmuller spaces T(g,n){\mathbf T}(g, n) of positive dimension (corresponding to punctured Riemann surfaces of finite conformal type (g,n)(g, n) with 2g2+n>02g - 2 + n > 0).

Keywords

Cite

@article{arxiv.2407.18239,
  title  = {All Teichmuller spaces are not starlike},
  author = {Samuel L. Krushkal},
  journal= {arXiv preprint arXiv:2407.18239},
  year   = {2024}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2405.15527

R2 v1 2026-06-28T17:53:49.201Z