The oriented graph of multi-graftings in the Fuchsian case

Gabriel Calsamiglia; Bertrand Deroin; Stefano Francaviglia

doi:10.5565/publmat_58114_02

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arXiv · 1205.6069

The oriented graph of multi-graftings in the Fuchsian case

Gabriel Calsamiglia·Bertrand Deroin·Stefano Francaviglia

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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.

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Gabriel Calsamiglia, Bertrand Deroin, Stefano Francaviglia. 2012-05-28. The oriented graph of multi-graftings in the Fuchsian case. https://doi.org/10.5565/publmat_58114_02

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