  We give some new link detection results for link Floer homology, Khovanov
homology and annular Khovanov homology. The links we detect arise via different
closure operations on $3$-braids. Examples of our results include that link
Floer homology detects the Mazur link, that annular Khovanov homology detects
the Mazur pattern, and that Khovanov homology detects L6a2 and L9n15. The Mazur
pattern detection result depends on a new bound on the rank of the annular
Khovanov homology of certain links.
