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arXiv · 2606.21462

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

Zekai Yu
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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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Zekai Yu. 2026-06-19. Non-commutative calculus and Getzler-Gauss-Manin connections for Open-closed Homotopy Algebras. https://arxiv.org/abs/2606.21462

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