The Lubin-Tate theory of configuration spaces. I

DOI10.1112/TOPO.70000MaRDI QIDQ6660368

D. Lukas B. Brantner, Jeremy Hahn, Ben Knudsen

Publication date: 10 January 2025

Published in: Journal of Topology (Search for Journal in Brave)

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Loop spaces (55P35) Discriminantal varieties and configuration spaces in algebraic topology (55R80) Cohomology of Lie (super)algebras (17B56) Spectral sequences in algebraic topology (55Txx)

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• Bar constructions for topological operads and the {G}oodwillie derivatives of the identity
• Betti numbers and stability for configuration spaces via factorization homology
• The power operation structure on Morava \(E\)-theory of height 2 at the prime 3
• The cohomology of restricted Lie algebras and of Hopf algebras
• Baer invariants and the Birkhoff-Witt theorem
• Homotopy limits, completions and localizations
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• On the K -Theory of the Kahn-Priddy Map
• Lambda-rings, binomial domains, and vector bundles over cp(∞)
• The homology and Morava K-theory of Ω 2 SU(n)
• Splitting of certain spaces CX
• Localization and Periodicity in Unstable Homotopy Theory
• On the homology spectral sequence for topological Hochschild homology
• Generalized group characters and complex oriented cohomology theories
• A Stable Decomposition of ω ^N Sⁿ X
• Betti numbers of configuration spaces of surfaces
• Universal homotopy associative, homotopy commutative $H$-spaces and the EHP spectral sequence
• The units of a ring spectrum and a logarithmic cohomology operation
• Koszul Resolutions
• Lois polynomes et lois formelles en théorie des modules
• Homology of Iterated Loop Spaces
• Simplicial homotopy theory

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