The A∞ de Rham Theorem and Integration of Representations up to Homotopy

DOI10.1093/imrn/rns166zbMath1318.58009arXiv1011.4693OpenAlexW2964346012MaRDI QIDQ5251468

Florian Schätz, Camilo Arias Abad

Publication date: 20 May 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4693

zbMATH Keywords

\(L_{\infty}\)-algebrasrepresentations up to homotopy

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Deformations of general structures on manifolds (58H15) de Rham theory in global analysis (58A12) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items (10)

Singular chains on Lie groups and the Cartan relations I. ⋮ Modules and representations up to homotopy of Lie \(n\)-algebroids ⋮ Vector bundles over Lie groupoids and algebroids ⋮ Higher extensions of Lie algebroids ⋮ How to discretize the differential forms on the interval ⋮ Reidemeister torsion for flat superconnections ⋮ The higher Riemann-Hilbert correspondence and principal 2-bundles ⋮ An \(\mathsf{A}_\infty\) version of the Poincaré lemma ⋮ Integration of $2$-term representations up to homotopy via $2$-functors ⋮ Higher holonomies: comparing two constructions

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