Orderability of Homology Spheres Obtained by Dehn Filling.

In this paper, I construct the holonomy extension locus of a $mathbb{Q}$-homology solid torus which is an analog of its translation extension locus. Using extension loci, I study $mathbb{Q}$-homology 3-spheres coming from Dehn fillings of $mathbb{Q}$-homology solid tori and construct intervals of orderable Dehn fillings.