An \(\mathsf{A}_\infty\) version of the Poincaré lemma

DOI10.2140/pjm.2019.302.385zbMath1439.55013arXiv1808.06682OpenAlexW3104885167MaRDI QIDQ2305385

Camilo Arias Abad, Alexander Quintero Vélez, Sebastián Vélez Vásquez

Publication date: 10 March 2020

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

Full work available at URL: https://arxiv.org/abs/1808.06682

zbMATH Keywords

iterated integralDG category\( \infty \)-local system\(\infty \)-natural transformationDG functor

Mathematics Subject Classification ID

Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Homotopy functors in algebraic topology (55P65) (A_{infty})-categories, relations with homological mirror symmetry (18G70)

Related Items (1)

Singular chains on Lie groups and the Cartan relations I.

Cites Work

• Fukaya categories and Picard-Lefschetz theory
• The higher Riemann-Hilbert correspondence
• Loop spaces and connections
• Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
• Iterated path integrals
• FlatZ-graded Connections and Loop Spaces
• Relative Calabi–Yau structures
• The A∞ de Rham Theorem and Integration of Representations up to Homotopy
• Morita cohomology

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