English

Dunkl connections on $\mathbb{C}^2$ and spherical metrics

Differential Geometry 2022-09-14 v1

Abstract

We show that general Dunkl connections on C2\mathbb{C}^2 do not preserve non-zero Hermitian forms. Our proof relies on recent understanding of the non-trivial topology of the moduli space of spherical tori with one conical point.

Cite

@article{arxiv.2209.05958,
  title  = {Dunkl connections on $\mathbb{C}^2$ and spherical metrics},
  author = {Martin de Borbon and Dmitri Panov},
  journal= {arXiv preprint arXiv:2209.05958},
  year   = {2022}
}

Comments

37 pages, comments are welcome

R2 v1 2026-06-28T01:12:35.712Z