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