The oriented graph of multi-graftings in the Fuchsian case
Geometric Topology
2014-01-22 v2 Differential Geometry
Abstract
We prove the connectedness and calculate the diameter of the oriented graph of graftings associated to exotic complex projective structures on a compact surface S with a given holonomy representation of Fuchsian type. The oriented graph of graftings is the graph whose vertices are the equivalence classes of marked CP^1-structures on S with a given fixed holonomy, and there is an oriented edge between two structures if the second is obtained from the first by grafting.
Keywords
Cite
@article{arxiv.1205.6069,
title = {The oriented graph of multi-graftings in the Fuchsian case},
author = {Gabriel Calsamiglia and Bertrand Deroin and Stefano Francaviglia},
journal= {arXiv preprint arXiv:1205.6069},
year = {2014}
}
Comments
Improved version. The paper chaged title: from "The oriented graph of graftings..." to "The oriented graph of multi-graftings..."