Higher residues and canonical pairing on the twisted de Rham cohomology

Kim, Hoil; Kim, Taejung

doi:10.1090/proc/16883

Higher residues and canonical pairing on the twisted de Rham cohomology
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by Hoil Kim and Taejung Kim;

Proc. Amer. Math. Soc. 152 (2024), 4187-4201

DOI: https://doi.org/10.1090/proc/16883

Published electronically: August 28, 2024

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Abstract:

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 relation to Saito’s higher residue pairings we reprove the conjecture of Shklyarov [Adv. Math. 292 (2016), pp. 181–209].

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