Higher dimensional abelian Chern-Simons theories and their link invariants

DOI10.1063/1.4791677zbMath1280.81088arXiv1207.1270OpenAlexW1984955973MaRDI QIDQ5396317

Éric Pilon, Laurent Gallot, Frank Thuillier

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1207.1270

zbMATH Keywords

Deligne-Beilinson cohomology

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Eta-invariants, Chern-Simons invariants (58J28) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (6)

Towards noncommutative linking numbers via the Seiberg-Witten map ⋮ Path-integral invariants in abelian Chern-Simons theory ⋮ 3D topological models and Heegaard splitting. II. Pontryagin duality and observables ⋮ Three-manifold invariant from functional integration ⋮ Abelian BF theory and Turaev-Viro invariant ⋮ Geometric aspects of interpolating gauge-fixing in Chern–Simons theory

Cites Work

• Unnamed Item
• Unnamed Item
• Deligne-Beilinson cohomology and abelian link invariants
• Higher regulators and values of \(L\)-functions
• Hecke algebra representations of braid groups and link polynomials
• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory
• Holonomy and parallel transport for abelian gerbes
• Invariants of 3-manifolds via link polynomials and quantum groups
• Théorie de Hodge. II. (Hodge theory. II)
• Deligne–Beilinson cohomology and Abelian link invariants: Torsion case
• The de Rham-Federer theory of differential characters and character duality
• Link invariants for flows in higher dimensions
• Self-Linking and the Gauss Integral in Higher Dimensions
• Loop spaces, characteristic classes and geometric quantization

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