  We prove a conjecture of Shklyarov concerning the relationship between K.
Saito's higher residue pairing and a certain pairing on the periodic cyclic
homology of matrix factorization categories. Along the way, we give new proofs
of a result of Shklyarov and Polishchuk-Vaintrob's Hirzebruch-Riemann-Roch
formula for matrix factorizations.
