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arxiv: math/9910179 · v2 · pith:QQEUTMLYnew · submitted 1999-11-01 · 🧮 math.RA · math.AT· math.KT

Introduction to A-infinity algebras and modules

classification 🧮 math.RA math.ATmath.KT
keywords a-infinityalgebrasmodulescategoriesderivedexpandedfourintroduction
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These are expanded notes of four introductory talks on A-infinity algebras, their modules and their derived categories.

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    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.