English

Grafting of real projective surfaces with Hitchin holonomy

Geometric Topology 2026-03-13 v1 Differential Geometry

Abstract

We define graftable curves on real projective surfaces. In particular, we construct graftable ones in Hitchin case and show that real projective structures with the same Hitchin holonomy, carrying the same weight type, are related to each other via multi-graftings.

Keywords

Cite

@article{arxiv.2603.11540,
  title  = {Grafting of real projective surfaces with Hitchin holonomy},
  author = {Toshiki Fujii},
  journal= {arXiv preprint arXiv:2603.11540},
  year   = {2026}
}

Comments

32 pages, 33 figures