Chern-Weil theory for \(\infty \)-local systems

DOI10.1090/tran/9068MaRDI QIDQ6567160

Santiago Pineda Montoya, Alexander Quintero Vélez, Camilo Arias Abad

Publication date: 4 July 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Chain complexes (category-theoretic aspects), dg categories (18G35) Homotopy functors in algebraic topology (55P65) Lie algebras and Lie superalgebras (17Bxx)

Cites Work

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• Singular chains on Lie groups and the Cartan relations I.
• Simplicial presheaves
• \(L_{\infty}\)-algebra actions
• The non-commutative Weil algebra
• An \(\mathsf{A}_\infty\) version of the Poincaré lemma
• The homotopy theory of diffeological spaces
• On string topology of classifying spaces
• The higher Riemann-Hilbert correspondence
• String topology of classifying spaces
• Representations up to homotopy of Lie algebroids
• FlatZ-graded Connections and Loop Spaces
• Clifford Algebras and Lie Theory
• The A∞ de Rham Theorem and Integration of Representations up to Homotopy
• Morita cohomology
• Lie theory and the Chern–Weil homomorphism
• Simplicial homotopy theory
• Lie groups beyond an introduction

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