English

Prime theta-curves on minimal genus Seifert surfaces

Geometric Topology 2025-11-25 v1

Abstract

We prove that each prime knot union an essential arc on a minimal genus Seifert surface is a prime theta-curve.

Keywords

Cite

@article{arxiv.2511.18465,
  title  = {Prime theta-curves on minimal genus Seifert surfaces},
  author = {Jack S. Calcut and Jamie Phillips-Freedman},
  journal= {arXiv preprint arXiv:2511.18465},
  year   = {2025}
}

Comments

9 pages, 5 figures