1d sectors from the squashed three-sphere

3d N=4 SCFTs contain a 1d topological sector of twisted linear
combinations of half-BPS local operators inserted along a line. I will
explain how to construct analogous 1d topological sectors on the
three-sphere and in particular show how these sectors are preserved under
the squashing of the sphere. Furthermore, I will show how to introduce FI
parameters and real masses in the 3d N=4 theory and demonstrate how such
deformations can be translated in universal deformations of the
corresponding 1d theory. Finally, I will discuss a series of applications
and future prospects.