The units of a ring spectrum and a logarithmic cohomology operation

DOI10.1090/S0894-0347-06-00521-2zbMath1106.55002arXivmath/0407022MaRDI QIDQ5473401

Charles Rezk

Publication date: 21 June 2006

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

Full work available at URL: https://arxiv.org/abs/math/0407022

zbMATH Keywords

cohomologyspectrumoperationMorava E-theory

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Elliptic cohomology (55N34) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Hecke-Petersson operators, differential operators (one variable) (11F25) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Infinite loop spaces (55P47) (K)-theory operations and generalized cohomology operations in algebraic topology (55S25) Primary cohomology operations in algebraic topology (55S05)

Related Items

Toward a Galois theory of the integers over the sphere spectrum, Commutative ring objects in pro-categories and generalized Moore spectra, Exponential functors, \(R\)-matrices and twists, Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere, Transchromatic generalized character maps, Topological Hochschild homology and cohomology of \(A_{\infty }\) ring spectra, Diagram spaces, diagram spectra and spectra of units, Eilenberg-Mac Lane spectra as equivariant Thom spectra, Lie algebras and \(v_n\)-periodic spaces, Stable and unstable operations in mod \(p\) cohomology theories, Homotopy theory of modules over operads and non-\(\varSigma \) operads in monoidal model categories, Orbifold genera, product formulas and power operations, A Dixmier-Douady theory for strongly self-absorbing \(C^\ast\)-algebras. II: The Brauer group, The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2, The stable Adams conjecture and higher associative structures on Moore spectra, Toward the group completion of the Burau representation

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