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math.KT2023
Dévissage for periodic cyclic homology of complete intersections
Michael K. Brown, Mark E. Walker
We prove that the dévissage property holds for periodic cyclic homology for a local complete intersection embedding into a smooth scheme. As a consequence, we show that the complex…
math.KT2019
A proof of a conjecture of Shklyarov
Michael K. Brown, Mark E. Walker
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 factorizati…
math.KT2018
A Chern-Weil formula for the Chern character of a perfect curved module
Michael K. Brown, Mark E. Walker
Let be a field of characteristic 0 and a curved -algebra. We obtain a Chern-Weil-type formula for the Chern character of a perfect -module taking…