Abelian Chern–Simons theory. I. A topological quantum field theory

DOI10.1063/1.532333zbMath0930.53057arXivdg-ga/9610001OpenAlexW2057502613MaRDI QIDQ4212625

Mihaela Manoliu

Publication date: 15 February 2000

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9610001

zbMATH Keywords

geometric quantizationunitary theories2+1 dimensional topological quantum field theoryAbelian 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) Geometric quantization (53D50)

Related Items (12)

The Chern-Simons current in time series of knots and links in proteins ⋮ Forecasting Laurent Polynomial in the Chern–Simons Current of V3 Loop Time Series ⋮ The topological quantum field theory of Riemann's theta functions ⋮ Path-integral invariants in abelian Chern-Simons theory ⋮ Localization in abelian Chern-Simons theory ⋮ MAPPING CLASS GROUP AND U(1) CHERN–SIMONS THEORY ON CLOSED ORIENTABLE SURFACES ⋮ Free partition functions and an averaged holographic duality ⋮ ON EXOTIC MODULAR TENSOR CATEGORIES ⋮ Abelian Chern–Simons theory. II. A functional integral approach ⋮ On classification of modular tensor categories ⋮ Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial ⋮ Anomaly inflow and \(p\)-form gauge theories

Cites Work

• Fusion rules and modular transformations in 2D conformal field theory
• Quantum field theory and the Jones polynomial
• Computer calculation of Witten's 3-manifold invariant
• On quantum gauge theories in two dimensions
• Analytic torsion and R-torsion of Riemannian manifolds
• Chern-Simons theory with finite gauge group
• Generalized Ray-Singer conjecture. I: A manifold with a smooth boundary
• Classical Chern-Simons theory. I
• Invariants of 3-manifolds via link polynomials and quantum groups
• R-torsion and the Laplacian on Riemannian manifolds
• Quantization of symplectic tori in a real polarization
• The Yang-Mills equations over Riemann surfaces

This page was built for publication: Abelian Chern–Simons theory. I. A topological quantum field theory