  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.
