Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations

Published 23 Apr 2023 in math.AG and math.KT | (2304.11675v1)

Abstract: We formulate a realization of the canonical pairing in the negative cyclic homology of the category of local matrix factorizations and for global matrix factorizations, by introducing a twisted de Rham valued Todd class we establish a formula of the Hirzebruch-Riemann-Roch theorem in the case of periodic cyclic homology.

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