Sets of degrees of maps between SU(2)-bundles over the 5-sphere

DOI10.1007/s00031-018-9490-9zbMath1445.57020arXiv1710.10440OpenAlexW3104728731MaRDI QIDQ2301823

Jean-François Lafont, Christoforos Neofytidis

Publication date: 25 February 2020

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.10440

zbMATH Keywords

degreeSteenrod squaresSU(2)-bundles

Mathematics Subject Classification ID

Degree, winding number (55M25) Surgery and handlebodies (57R65) Algebraic topology on manifolds and differential topology (57R19) Classification of mappings in algebraic topology (55S37)

Related Items (2)

Steenrod problem and the domination relation ⋮ Degrees of maps between \(S^3\)-bundles over \(S^5\)

Cites Work

• Self-mapping degrees of 3-manifolds
• Cohomogeneity one manifolds and self-maps of nontrivial degree
• Presentations of the first homotopy groups of the unitary groups
• Non-zero degree maps between \(2n\)-manifolds
• Homotopy groups of \(\mathrm{SU}(3)\), \(\mathrm{SU}(4)\) and \(\mathrm{Sp}(2)\)
• Degrees of Self-Maps of Products
• Groupes de Lie et Puissances Reduites de Steenrod

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