Talk:Homotopy associative algebra

References

• A-infinity structures and Massey products - https://arxiv.org/abs/1801.03408 — Preceding unsigned comment added by Wundzer (talk • contribs) 18:34, 10 July 2020 (UTC)
• https://web.maths.unsw.edu.au/~danielch/thesis/nathan.pdf - AN INTRODUCTION TO A∞-ALGEBRAS - Nathan Menzies
• http://therisingsea.org/notes/MScThesisPatrickElliott.pdf - A∞-Categories and Matrix Factorisations over Hypersurface Singularities
• http://preprints.ihes.fr/2006/M/M-06-34.pdf - Notes on A-infinity algebras, A-infinity categories and non-commutative geometry. I
• https://www.homepages.ucl.ac.uk/~ucaheps/papers/thesis.pdf - The A∞ Deformation Theory of a Point and the Derived Categories of Local Calabi-Yaus
• http://therisingsea.org/
• https://www.maths.ed.ac.uk/~mbooth/Ainfty.pdf - theorem 3.6 + reference
• http://math0.bnu.edu.cn/~ccxi/Notes/lu.pdf - get the DGA model: Every A∞-algebra A is quasi-isomorphic to a free DGA constructed as ΩBA. Ω = cobar construction B = bar construction

Track down Aoo-algebras for ring theorists, joint with D.-M. Lu, Q.-S. Wu and J. J. Zhang, Algebra Colloquium 11 (2004), 91-128.

An A-infinity algebra is a natural generalization of an associative algebra. We provide some examples and applications of A-infinity algebras and show that A-infinity algebras can be used to solve questions in ring theory.

• Hochschield cohomology - https://www.uni-math.gwdg.de/mdehling/post/algebraic-structures-up-to-homotopy/
• https://arxiv.org/abs/1312.4636
• https://arxiv.org/abs/hep-th/9408064
• http://www-users.math.umn.edu/~voronov/8390/ — Preceding unsigned comment added by Wundzer (talk • contribs) 20:39, 10 July 2020 (UTC)