A note on the double quaternionic transfer and its $f$–invariant

DOI10.1090/proc/12940zbMath1337.55015arXiv1103.6151OpenAlexW2962928134MaRDI QIDQ2796747

Hanno von Bodecker

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1103.6151

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Elliptic genera (58J26) Stable homotopy of spheres (55Q45)

Cites Work

• Modular representations of \(GL(n,p)\), splitting \(\Sigma(CP^{\infty} \times \dots \times CP^{\infty})\) and the \(\beta\)-family as framed hypersurfaces
• The \(f\)-invariant and index theory
• Parallelizability of homogeneous spaces. II
• On the iterated complex transfer
• Line bundles over framed manifolds
• Rank and Adams filtration of a Lie group
• The topological \(q\)-expansion principle
• On the groups \(J(X)\). IV
• The relation of cobordism to K-theories
• On the geometry of the f-invariant
• beta-family congruences and the f-invariant
• Hypersurface representation and the image of the double S^3-transfer
• On cobordism of manifolds with corners
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