ON THE DOUBLE TRANSFER AND THE f-INVARIANT

DOI10.1017/S0017089512000158zbMath1310.55009arXiv1005.0918MaRDI QIDQ2902678

Geoffrey M. L. Powell

Publication date: 22 August 2012

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.0918

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Elliptic cohomology (55N34) Transfer for fiber spaces and bundles in algebraic topology (55R12)

Cites Work

• Congruences between modular forms given by the divided \(\beta \) family in homotopy theory
• On the detection of some elements in the image of the double transfer using K(2)-theory
• On the iterated complex transfer
• Higher congruences between modular forms
• Periodic phenomena in the Adams-Novikov spectral sequence
• The cooperations of \(MU_*(CP^\infty)\) and \(MU_*(HP^\infty)\) and the primitive generators
• The topological \(q\)-expansion principle
• Comodules and Landweber exact homology theories
• beta-family congruences and the f-invariant
• Localization with Respect to Certain Periodic Homology Theories

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