2π-grafting and complex projective structures with generic holonomy

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, (2π-)graftings produce all projective structures on S with the holonomy representation.

58 pages. To appear in GAFA

References in corpus (1)

• The oriented graph of multi-graftings in the Fuchsian case

Cited by in corpus (1)

• Holonomy map fibers of $\mathbb{C}{\mathrm{P}}^1$-structures in moduli space