Turning vector bundles

DOI10.2140/AGT.2024.24.2807MaRDI QIDQ6614589

Blake Sims, Csaba L. Nagy, Diarmuid Crowley, Huijun Yang

Publication date: 7 October 2024

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

vector bundlecomplex structuregauge groupSamelson product

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Topology of vector bundles and fiber bundles (57R22) Classification of fiber spaces or bundles in algebraic topology (55R15)

Cites Work

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• Some non-stable homotopy groups of Lie groups
• A note on the Samelson products in \(\pi_*(SO(2n))\) and the group \([SO(2n),SO(2n)]\)
• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern.
• The homotopy types of \(\mathrm{SO}(4)\)-gauge groups
• The stable homotopy of the classical groups
• The Samelson product and rational homotopy for gauge groups
• Classification of (n-1)-connected 2n-manifolds
• On the parallelizability of the spheres
• Morse Theory. (AM-51)
• A Note on Obstructions and Characteristic Classes
• The metastable homotopy of 𝑂(𝑛)
• K-THEORY AND REALITY
• Complex Structures on Real Vector Bundles
• A Connection Between the Whitehead and the Pontryagin Product

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