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Obstruction theory on 7-manifolds

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Publication:2004020
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DOI10.1007/s00229-019-01165-2zbMath1478.55010arXiv1811.04666OpenAlexW2989588228MaRDI QIDQ2004020

Martin Čadek, Tomáš Salač, Michael Crabb

Publication date: 14 October 2020

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.04666


zbMATH Keywords

vector bundlesstructure groups


Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Algebraic topology on manifolds and differential topology (57R19) Equivariant operations and obstructions in algebraic topology (55S91)




Cites Work

  • On the topology and the geometry of SO(3)-manifolds
  • On the gauge orbit types for theories with classical compact gauge group
  • Obstruction theory on 8-manifolds
  • K-theory obstructions to the existence of vector fields
  • Multisymplectic 3-forms on 7-dimensional manifolds
  • SO(3)-structures on 8-manifolds
  • On the classification of oriented 3-plane bundles over a 6-complex
  • Vector fields on low dimensional manifolds
  • Vector fields with finite singularities
  • On theKOℤ/2-Euler class, I
  • On the Stiefel-Whitney Classes of a Manifold. II
  • Vector-Bundle Monomorphisms with Finite Singularities
  • The classification of orientable vector bundles over CW-complexes of small dimension
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