From simplicial Chern-Simons theory to the shadow invariant I
DOI10.1063/1.4907978zbMath1312.81113arXiv1206.0439OpenAlexW2097321005MaRDI QIDQ5245229
Publication date: 7 April 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.0439
3-manifoldquantum topologyReshetikhin-Turaev invariantsnon-abelian Chern-Simons path integraltorus gaugeWitten's invariants
Quantum field theory on curved space or space-time backgrounds (81T20) Path integrals in quantum mechanics (81S40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Discrete version of topics in analysis (39A12) Eta-invariants, Chern-Simons invariants (58J28)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Localization for Wilson loops in Chern-Simons theory
- The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II.
- Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants. I
- Chern-Simons models on \(S^2\times S^1\), torus gauge fixing, and link invariants II
- The Wilson loop observables of Chern-Simons theory on \({\mathbb{R}}^3\) in axial gauge
- Quantum field theory and the Jones polynomial
- On quantum gauge theories in two dimensions
- Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation
- Shadow links and face models of statistical mechanics
- Analytic torsion and R-torsion of Riemannian manifolds
- Analytic torsion and the heat equation
- Chern-Simons perturbation theory. II
- A mathematical construction of the non-Abelian Chern-Simons functional integral
- Vassiliev knot invariants and Chern-Simons perturbation theory to all orders
- Jones-Witten invariants for nonsimply connected Lie groups and the geometry of the Weyl alcove
- On the Vassiliev knot invariants
- Ribbon graphs and their invariants derived from quantum groups
- The Chern-Simons theory and knot polynomials
- Combinatorial expression for universal Vassiliev link invariant
- On diagonalization in map(\(M\),G)
- A large \(k\) asymptotics of Witten's invariant of Seifert manifolds
- A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I
- Derivation of the Verlinde formula from Chern-Simons theory and the \(G/G\) model.
- Invariants of 3-manifolds via link polynomials and quantum groups
- Non-abelian localization for Chern-Simons theory
- R-torsion and the Laplacian on Riemannian manifolds
- The Witten–Reshetikhin–Turaev invariants of finite order mapping tori I
- Ponzano–Regge model revisited: III. Feynman diagrams and effective field theory
- The Ponzano–Regge model
- AN ANALYTIC APPROACH TO TURAEV'S SHADOW INVARIANT
- Finite-Difference Approach to the Hodge Theory of Harmonic Forms
- On the self-linking of knots
- A Doubled Discretization of Abelian Chern-Simons Theory
- Ponzano–Regge model revisited: I. Gauge fixing, observables and interacting spinning particles
- Topological BF theories in 3 and 4 dimensions
- PERTURBATIVE CHERN-SIMONS THEORY
- From simplicial Chern-Simons theory to the shadow invariant I
- From simplicial Chern-Simons theory to the shadow invariant II
- CHERN–SIMONS THEORY AND THE QUANTUM RACAH FORMULA
- Quantum invariants of knots and 3-manifolds
- Recent developments in Chern-Simons theory and link invariants
- Chern-Simons model in the Landau gauge and its connection to the Kac-Moody algebra
This page was built for publication: From simplicial Chern-Simons theory to the shadow invariant I
