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Reconstruction theorem for groupoids and principal fiber bundles

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Publication:1367634
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DOI10.1007/BF02435815zbMath0909.55005OpenAlexW1988951906MaRDI QIDQ1367634

E. E. Wood

Publication date: 12 April 1999

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02435815


zbMATH Keywords

quantum gravitygauge theoryreconstruction theorem


Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Topological groupoids (including differentiable and Lie groupoids) (22A22) Fiber bundles in algebraic topology (55R10)


Related Items (2)

Parallel transport on principal bundles over stacks ⋮ Thin homotopy and the holonomy approach to gauge theories



Cites Work

  • Holonomy and path structures in general relativity and Yang-Mills theory
  • Axiomatic holonomy maps and generalized Yang-Mills moduli space
  • Group of loops, holonomy maps, path bundle and path connection
  • A formalism for quantising general relativity using non-local variables
  • AN AXIOMATIC DEFINITION OF HOLONOMY
  • A loop representation for the quantum Maxwell field
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