Simultaneous Kummer congruences and \({\mathbb {E}}_\infty \)-orientations of KO and tmf

DOI10.1007/s00209-018-2156-4zbMath1421.55006arXiv1409.5314OpenAlexW3100949552MaRDI QIDQ2633129

Niko Naumann, Johannes Sprang

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5314

zbMATH Keywords

Kummer congruencestopological modular formstopological \(K\)-theoryorientation theory

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Congruences; primitive roots; residue systems (11A07) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) String topology (55P50)

Related Items (2)

L‐theory of C∗$C^*$‐algebras ⋮ The Hecke algebra action and the Rezk logarithm on Morava E-theory of height 2

Cites Work

• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• The digit principle
• Clifford modules
• Modular functions of one variable. III. Proceedings international summer school University of Antwerp, RUCA, July 17-August 3, 1972
• Infinite Loop Spaces (AM-90)
• Les Schémas de Modules de Courbes Elliptiques
• \(p\)-adic Fourier theory
• Topological modular forms with level structure
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