English

The crossing number of polynomial curve systems

Geometric Topology 2026-01-29 v1

Abstract

We determine the crossing number of polynomial size curve systems on standard surfaces, in terms of the genus, up to high precision.

Keywords

Cite

@article{arxiv.2601.20588,
  title  = {The crossing number of polynomial curve systems},
  author = {Sebastian Baader and Jasmin Jörg and Hugo Parlier},
  journal= {arXiv preprint arXiv:2601.20588},
  year   = {2026}
}

Comments

8 pages, 2 figures