Abelian Chern–Simons theory. II. A functional integral approach

DOI10.1063/1.532312zbMath0930.53058OpenAlexW2025930318MaRDI QIDQ4212626

Mihaela Manoliu

Publication date: 15 February 2000

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

Full work available at URL: https://doi.org/10.1063/1.532312

zbMATH Keywords

3-manifoldsgeometric quantizationfunctional integralAbelian quantum Chern-Simons gauge theory

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of differential geometry to physics (53Z05) Applications of manifolds of mappings to the sciences (58D30) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56)

Related Items (3)

The topological quantum field theory of Riemann's theta functions ⋮ U(1)-Gauge Theories on $$G_2$$-Manifolds ⋮ Anomaly inflow and \(p\)-form gauge theories

Cites Work

• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• Computer calculation of Witten's 3-manifold invariant
• Analytic torsion and R-torsion of Riemannian manifolds
• Instantons and fermions in the field of instanton
• Generalized Ray-Singer conjecture. I: A manifold with a smooth boundary
• R-torsion and the Laplacian on Riemannian manifolds
• Spectral asymmetry and Riemannian Geometry. I
• Abelian Chern–Simons theory. I. A topological quantum field theory

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