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math.AG2023
Canonical pairing and Hirzebruch-Riemann-Roch formula for matrix factorizations
Hoil Kim, Taejung Kim
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 introduc…
math.AG2023
Higher residues and canonical pairing on the twisted de Rham cohomology
Hoil Kim, Taejung Kim
We describe an explicit formula of the canonical pairing on the twisted de Rham cohomology associated with the category of local matrix factorizations and by characterizing its rel…