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Introduction to A-infinity algebras and modules

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arxiv math/9910179 v2 pith:QQEUTMLY submitted 1999-11-01 math.RA math.ATmath.KT

Bernhard Keller This is my paper · ORCID
classification math.RAmath.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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Universal quadratic field equations via homotopy algebras

    hep-th 2026-08 conditional novelty 6.0 of 10

    The bar-cobar construction turns the equations of motion of any homotopy-algebra gauge theory into universal quadratic Maurer-Cartan equations, with solutions equivalent to the original theory.

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

    math.QA 2026-06 unverdicted novelty 5.0 of 10

    Open-closed homotopy algebras admit a non-commutative calculus on their Hochschild invariants and a Getzler-Gauss-Manin connection on their periodic cyclic complex, flat up to chain homotopy.

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