English

2\pi-grafting and complex projective structures with generic holonomy

Geometric Topology 2017-08-22 v4

Abstract

Let S be an oriented closed surface of genus at least two. We show that, given a generic representation in the PSL(2,C)-character variety of S, (2\pi-)graftings produce all projective structures on S with the holonomy representation.

Cite

@article{arxiv.1307.2310,
  title  = {2\pi-grafting and complex projective structures with generic holonomy},
  author = {Shinpei Baba},
  journal= {arXiv preprint arXiv:1307.2310},
  year   = {2017}
}

Comments

58 pages. To appear in GAFA

R2 v1 2026-06-22T00:47:55.736Z