\(A_\infty\) structures and Massey products

DOI10.1007/s00009-019-1464-1zbMath1439.55020arXiv1801.03408OpenAlexW2994837043MaRDI QIDQ2295438

Urtzi Buijs, José Manuel Moreno Fernández, Aniceto Murillo-Mas

Publication date: 13 February 2020

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.03408

zbMATH Keywords

rational homotopy theory\(A_\infty\) algebrahigher Massey products

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Localization and completion in homotopy theory (55P60) Differential graded algebras and applications (associative algebraic aspects) (16E45) Massey products (55S30) (A_{infty})-categories, relations with homological mirror symmetry (18G70)

Related Items (9)

\(A_\infty\) persistent homology estimates detailed topology from pointcloud datasets ⋮ Étale cohomology, purity and formality with torsion coefficients ⋮ The singularity and cosingularity categories of \(C^{\ast}BG\) for groups with cyclic Sylow \(p\)-subgroups ⋮ Massey products for algebras over operads ⋮ On the behavior of Massey products under field extension ⋮ Double bubble plumbings and two-curve flops ⋮ Geometric formalities Along the Chern-Ricci flow ⋮ Almost formality of manifolds of low dimension ⋮ The Milnor-Moore theorem for \(L_\infty\) algebras in rational homotopy theory

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• HIGHER ORDER LINKING NUMBERS
• Introduction to \(A\)-infinity algebras and modules

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