The tangent complex of \(K\)-theory

DOI10.5802/jep.161zbMath1475.19003arXiv1904.08268OpenAlexW3141061368MaRDI QIDQ2028050

Benjamin Hennion

Publication date: 31 May 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.08268

zbMATH Keywords

\(K\)-theorycyclic homologyformal moduli problem

Mathematics Subject Classification ID

Relations of (K)-theory with cohomology theories (19E20) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Cites Work

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• Relative algebraic K-theory and cyclic homology
• Excision in cyclic homology and in rational algebraic K-theory
• Unifying derived deformation theories
• \(\lambda\)-structures in algebraic \(K\)-theory and cyclic homology
• The Hodge filtration and cyclic homology
• Higher Kac-Moody algebras and moduli spaces of \(G\)-bundles
• Equivalences of monoidal model categories
• The theorem of excision for Hochschild and cyclic homology
• Infinitesimal cohomology and the Chern character to negative cyclic homology
• Relative continuous K-theory and cyclic homology
• The homology of matrix Lie algebras over rings and the Hochschild homology
• Generators in formal deformations of categories
• Relative Chern Characters for Nilpotent Ideals
• On the equivalence of k-theories
• Excision in algebraic -theory revisited
• Homotopical algebraic geometry. II. Geometric stacks and applications
• The excision theorems in Hochschild and cyclic homologies
• Higher Topos Theory (AM-170)
• Excision in algebraic \(K\)-theory