The Koszul dual of an exact Hochschild extension of a dg algebra is isomorphic to the deformed Calabi-Yau completion of the Koszul dual.
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Exact Hochschild extensions and deformed Calabi-Yau completions
The Koszul dual of an exact Hochschild extension of a dg algebra is isomorphic to the deformed Calabi-Yau completion of the Koszul dual.