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- W81470488 abstract "Let $mathcal{G}^*(S,rho)$ be the graph whose vertices are marked complex projective structures with holonomy $rho$ and whose edges are graftings from one vertex to another. If $rho$ is quasi-Fuchsian, a theorem of Goldman implies that $mathcal{G}^*(S,rho)$ is connected. If $rho(pi_1(S))$ is a Schottky group Baba has shown that $mathcal{G}(S,rho)$ (the corresponding graph for unmarked structures) is connected. For the case that $rho(pi_1(S))$ is a Schottky group, this paper provides formulae for the composition of graftings in a basic setting. Using these formulae, one can construct an infinite number of (standard) projective structures which can be grafted to a common structure. Furthermore, one can construct pairs of projective structures which can be connected by grafting in an infinite number of ways." @default.
- W81470488 created "2016-06-24" @default.
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- W81470488 date "2010-12-10" @default.
- W81470488 modified "2023-09-27" @default.
- W81470488 title "Grafting Real Complex Projective Structures with Fuchsian Holonomy" @default.
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