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On oriented planar trees with three leaves

Geometric Topology 2020-05-18 v2

Abstract

This elementary note proposes candidates for interesting continuous piecewise-smooth `Riemannian' metrics on the moduli spaces of rooted geodesic trees embedded in the Poincar\'e disk. A related digression observes the existence of an apparently hitherto unrecognized abelian topological group structure on the real projective line.

Keywords

Cite

@article{arxiv.2005.05134,
  title  = {On oriented planar trees with three leaves},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2005.05134},
  year   = {2020}
}

Comments

Final remark corrected. Comments very welcome

R2 v1 2026-06-23T15:27:30.311Z