Establishes calculus structure on Hochschild invariants of open-closed homotopy algebras and shows the Getzler-Gauss-Manin connection is flat up to chain homotopy on the periodic cyclic chain complex.
Introduction to A-infinity algebras and modules
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abstract
These are expanded notes of four introductory talks on A-infinity algebras, their modules and their derived categories.
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2026 1verdicts
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Non-commutative calculus and Getzler-Gauss-Manin connections for Open-closed Homotopy Algebras
Establishes calculus structure on Hochschild invariants of open-closed homotopy algebras and shows the Getzler-Gauss-Manin connection is flat up to chain homotopy on the periodic cyclic chain complex.