Geometric approach to stable homotopy groups of spheres. The Adams-Hopf invariants

DOI10.1007/s10958-009-9467-2zbMath1182.55012arXiv0801.1412OpenAlexW2010274127MaRDI QIDQ843616

Peter M. Akhmetiev

Publication date: 15 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1412

zbMATH Keywords

Adams-Hopf invariants for skew-framed immersionsMelikhov mapskew-framed immersionsstable hopotopy groups of spheresthe Adams Theorem

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Characteristic classes and numbers in differential topology (57R20) Algebraic topology of manifolds (57N65) Embeddings and immersions in PL-topology (57Q35) Algebraic topology on manifolds and differential topology (57R19) Hopf invariants (55Q25) Cobordism and concordance in topological manifolds (57N70) Stable homotopy of spheres (55Q45)

Cites Work

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• Bordism groups of immersions and classes represented by self-intersections
• Smooth manifolds and their applications in homotopy theory
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• The relationship between framed bordism and skew-framed bordism
• Cobordism groups of immersions