English

The universal cover of the real projective line

Geometric Topology 2023-11-14 v1

Abstract

We construct an interesting topological cover of the multiplicative group of the real line, related to Tate's elliptic curve with q=eπq = e^\pi. We use the language of homological algebra, 2D Lorentz geometry and high-school trigonometry; the intent is expository but the suggested applications may be unusual.

Keywords

Cite

@article{arxiv.2311.06676,
  title  = {The universal cover of the real projective line},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:2311.06676},
  year   = {2023}
}