Line bundles over framed manifolds

DOI10.1007/BF01221883zbMath0311.55011OpenAlexW12661011MaRDI QIDQ1219493

Larry Smith, Peter Loeffler

Publication date: 1974

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172080

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Covering spaces and low-dimensional topology (57M10) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Other types of cobordism (57R90) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Fiber bundles in algebraic topology (55R10) (J)-morphism (55Q50)

Related Items (7)

James numbers ⋮ Detecting exotic structures via the Pontrjagin‐Thom construction ⋮ Remarks on framed bordism classes of classical Lie groups ⋮ Generalized flag manifolds as framed boundaries ⋮ On \(Im\;\{\Omega^{fr}_*(BZ/p)\rightarrow\Omega^U_*(BZ/p)\}\) ⋮ A note on the double quaternionic transfer and its $f$–invariant ⋮ Parallelizability of homogeneous spaces. II

Cites Work

• Unnamed Item
• Compact Lie groups and the stable homotopy of spheres
• Cobordism of maps
• On the groups \(J(X)\). IV
• The relation of cobordism to K-theories
• Some stable homotopy of complex projective space
• The Adams conjecture
• A survey of homotopy theory
• Applications of the transfer to stable homotopy theory

This page was built for publication: Line bundles over framed manifolds