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The oriented graph of multi-graftings in the Fuchsian case

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.

preprint2014arXivOpen access
Gabriel CalsamigliaBertrand DeroinStefano Francaviglia
math.GTmath.DG
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Gabriel CalsamigliaBertrand DeroinStefano Francaviglia

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