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Quantum anomalies and cocycles on gauge groups

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Publication:1073401
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DOI10.1007/BF01083693zbMath0588.58001MaRDI QIDQ1073401

A. G. Reyman, Ludvig Faddeev, Michaael A. Semenov-Tian-Shansky

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

Lie groupLie algebrascocyclessecond Chern classcochainsprincipal G-bundle


Mathematics Subject Classification ID

Applications of PDEs on manifolds (58J90) Differential forms in global analysis (58A10) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Group structures and generalizations on infinite-dimensional manifolds (58B25)


Related Items

Conformal anomaly, Virasoro algebra and Chern-Simons cohomology, Induced cyclic cocycles and higher eta invariants, Commutator anomalies and the Fock bundle, Characteristic classes of transformation groups, Riemann–Roch for Real Varieties, Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method, Elliptic hypergeometric integrals and 't Hooft anomaly matching conditions, Algebraic study of chiral anomalities



Cites Work

  • Non-Abelian bosonization in two dimensions
  • Cohomology of Lie groups
  • Characteristic forms and geometric invariants
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