 The order parameter of the smectic liquid crystal phase is a complex scalar field, and while it shares some similarities with superfluid or superconductor systems, the boundary conditions lead to a different topological structure of defects, allowing for the distinction between screw and edge defects. This implies that smectic defects can be topologically linked in a way similar to ordered systems with non-abelian fundamental groups. This article was authored by Randall Decamion and Ricardo A. Mosner.