The BRST operator of quantum symmetries: The quantum analogs of Donaldson invariants

DOI10.1063/1.532137zbMath0910.53049OpenAlexW1972277349MaRDI QIDQ4370753

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Publication date: 15 April 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532137

zbMATH Keywords

quantum groupsgauge theoryBRST operatorquantum Donaldson invariants

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05)

Related Items (2)

Lie-algebraic structure from inhomogeneous Hopf algebras ⋮ On the quantum Lorentz group

Cites Work

• Topological quantum field theory
• Quantum group gauge theory on quantum spaces
• Quantum deformation of BRST algebra
• Differential calculus on compact matrix pseudogroups (quantum groups)
• 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
• The quantum group of a nondegenerate bilinear form.
• QUANTUM GAUGE THEORIES
• Noncommutative differential geometry and new models of gauge theory
• NONCOMMUTATIVE GEOMETRY AND GRADED ALGEBRAS IN ELECTROWEAK INTERACTIONS
• Fuzzy mass relations for the Higgs
• The gravitational sector in the Connes–Lott formulation of the standard model

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