The oriented graph of multi-graftings in the Fuchsian case

G. Calsamiglia, B. Deroin, S. Francaviglia
2014 Publicacions matemàtiques  
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.
doi:10.5565/publmat_58114_02 fatcat:y4kyuuh67rfytamlhwa7i7wqu4