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Moduli spaces in positive geometry

Algebraic Geometry 2025-05-28 v2 High Energy Physics - Theory Combinatorics

Abstract

These are lecture notes for five lectures given at MPI Leipzig in May 2024. We study the moduli space M_{0,n} of n distinct points on P^1 as a positive geometry and a binary geometry. We develop mathematical formalism to study Cachazo-He-Yuan's scattering equations and the associated scalar and Yang-Mills amplitudes. We discuss open superstring amplitudes and relations to tropical geometry.

Keywords

Cite

@article{arxiv.2405.17332,
  title  = {Moduli spaces in positive geometry},
  author = {Thomas Lam},
  journal= {arXiv preprint arXiv:2405.17332},
  year   = {2025}
}

Comments

65 pages

R2 v1 2026-06-28T16:42:23.413Z