  Knotted line defects in continuous fields entrain a complex arrangement of
the material sur- rounding them. Recent experimental realisations in optics,
fluids and nematic liquid crystals make it important to fully characterise
these textures and to understand how their properties relate to the knot type.
We characterise knotted nematics through an application of classical knot
theory founded upon the Pontryagin-Thom construction for nematic textures and
give explicit closed form constructions for knots possessing Milnor fibrations
with general boundary conditions. For links we construct nematic textures
corresponding to all possible assigments of linking numbers and discuss the
relevance to recent, and classic, experiments on Hopf links.
