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- W2918542440 abstract "Given a pants decomposition $mathcal{PC} = {gamma_1, ldots, gamma_{xi}}$ on a hyperbolizable surface $Sigma$ and a vector $underline{c} = (c_1, ldots, c_{xi}) in mathbb{R}_+^xi$, we describe a plumbing construction which endows $Sigma$ with a complex projective structure for which the associated holonomy representation $rho$ is quasi-Fuchsian and for which $ell_rho(gamma_i) = c_i$. When $underline{c} to underline{0} = (0, ldots, 0)$ this construction limits to Kra's plumbing construction. In addition, when $Sigma = Sigma_{1,1}$, the holonomy representations of these structures belong to the `linear slice' of quasi-Fuchsian space $mathrm{QF}(Sigma)$ defined by Komori and Parkonnen. We discuss some conjectures for these slices suggested by the pictures we created in joint work with Yamashita." @default.
- W2918542440 created "2019-03-11" @default.
- W2918542440 creator A5034019619 @default.
- W2918542440 date "2019-02-07" @default.
- W2918542440 modified "2023-09-27" @default.
- W2918542440 title "C-gluing construction and slices of quasi-Fuchsian space" @default.
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