Non-commutative calculus and Getzler-Gauss-Manin connections for Open-closed Homotopy Algebras

2026/06/19 by Zekai Yu
Mathematics · #math.QA #hep-th #math-ph #math.KT #math.MP

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Abstract

We establish the calculus structure on Hochschild invariants of open-closed homotopy algebras. We further define the Getzler-Gauss-Manin connection and show that it is flat up to chain homotopy on the open-closed periodic cyclic chain complex.

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