Evaluations of annular Khovanov–Rozansky homology

Abstract We describe the universal target of annular Khovanov–Rozansky link homology functors as homotopy category a free symmetric monoidal linear generated by one object and endomorphism. This categorifies ring functions admits categorical analogues plethystic transformations, which we use to characterize invariants Coxeter braids. Further, prove existence group actions on cabled tangles introduce spectral sequences that aid in computing homologies generalized Hopf links. Finally, conjecture characterization horizontal traces Rouquier complexes braids other types.