A bigraded version of the Weil algebra and of the Weil homomorphism for Donaldson invariants. Elementary algebra and cohomology behind the Baulieu-Singer approach to Witten's topological Yang-Mills quantum field theory

DOI10.1016/0393-0440(95)00019-4zbMath0860.55017arXivhep-th/9402063OpenAlexW1994102981MaRDI QIDQ1915647

Michel Dubois-Violette

Publication date: 16 April 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9402063

zbMATH Keywords

topological field theorycharacteristic classesDonaldson invariantsWeil algebraWeil homomorphism

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Related Items (3)

The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants ⋮ Generalized BRST models and topological Yang-Mills theories ⋮ Chern-Simons and twisted supersymmetry in various dimensions.

Cites Work

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• Polynomial invariants for smooth four-manifolds
• The Weil-B.R.S. algebra of a Lie algebra and the anomalous terms in gauge theory
• Topological quantum field theory
• BRST model for equivariant cohomology and representatives for the equivariant Thom class
• Dirac operators coupled to vector potentials
• Topological Yang-Mills symmetry

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