English

A complete invariant for doodles on a 2-sphere

Geometric Topology 2024-02-28 v2

Abstract

We define a complete invariant for doodles on a 2-sphere which takes values in series of chord diagrams of certain type. The coefficients at the diagrams with nn chords are finite type invariants of doodles of order at most 2n2n.

Keywords

Cite

@article{arxiv.2401.09598,
  title  = {A complete invariant for doodles on a 2-sphere},
  author = {Jacob Mostovoy},
  journal= {arXiv preprint arXiv:2401.09598},
  year   = {2024}
}

Comments

13 pages, many figures

R2 v1 2026-06-28T14:19:50.674Z