Higher residues and canonical pairing on the twisted de Rham cohomology

Fuente: arXiv
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Main Authors: Kim, Hoil, Kim, Taejung
Format: Preprint
Published: 2023
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author Kim, Hoil
Kim, Taejung
author_facet Kim, Hoil
Kim, Taejung
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2304_11678
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Higher residues and canonical pairing on the twisted de Rham cohomology
Kim, Hoil
Kim, Taejung
Algebraic Geometry
Mathematical Physics
Primary 14A22, Secondary 16E40, 18G80
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.
title Higher residues and canonical pairing on the twisted de Rham cohomology
topic Algebraic Geometry
Mathematical Physics
Primary 14A22, Secondary 16E40, 18G80
url https://arxiv.org/abs/2304.11678