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Pluripotential operadic calculus
[Submitted on 15 Jun 2026] · 2026-06-16 · via math updates on arXiv.org

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Abstract:This paper explores a new context for operadic calculus and Koszul duality arising in the study of complex manifolds or, more abstractly, of bidifferential bigraded algebras up to pluripotential weak equivalence. In particular, we establish a Pluripotential Homotopy Transfer Theorem. This provides a homotopical framework for the theory of Massey products in Bott-Chern and Aeppli cohomologies, defined for any complex manifold.

Submission history

From: Anna Sopena-Gilboy [view email]
[v1] Mon, 15 Jun 2026 10:39:30 UTC (61 KB)