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arXiv · 2610.08091

Diagonalizable modular derivations on bigraded Poisson spaces and Koszul duality

Ruobing Chen·Di Zhang
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Abstract

For two bigraded spaces $k^{m||n}$ and $k^{n\wedge m}$ equipped with appropriate quadratic Poisson structures, Koszul duality identifies the mixed Poisson differential calculi and, in the unimodular case, their Poisson cohomologies as Batalin--Vilkovisky algebras. In the current paper we prove that Koszul duality induces an isomorphism of Batalin--Vilkovisky algebras between their Poisson cohomologies when the modular derivation of one algebra is diagonalizable, including non-unimodular cases.

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Ruobing Chen, Di Zhang. 2026-10-06. Diagonalizable modular derivations on bigraded Poisson spaces and Koszul duality. https://arxiv.org/abs/2610.08091

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