A large \(k\) asymptotics of Witten's invariant of Seifert manifolds
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Publication:1907983
DOI10.1007/BF02099272zbMath0837.57014arXivhep-th/9303099MaRDI QIDQ1907983
Publication date: 15 February 1996
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9303099
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Related Items (36)
Quantum groups at odd roots of unity and topological invariants of 3-manifolds ⋮ The trivial connection contribution to Witten's invariant and finite type invariants of rational homology spheres ⋮ Quantum invariants, modular forms, and lattice points II ⋮ Topological anomalies for Seifert 3-manifolds ⋮ Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants ⋮ Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution ⋮ ON THE QUANTUM INVARIANT FOR THE BRIESKORN HOMOLOGY SPHERES ⋮ A contribution of the trivial connection to the Jones polynomial and Witten's invariant of 3d manifolds. I ⋮ A contribution of the trivial connection of the Jones polynomial and Witten's invariant of 3d manifolds. II ⋮ M-theoretic genesis of topological phases ⋮ Residue formulas for the large \(k\) asymptotics of Witten's invariants of Seifert manifolds. The case of \(SU(2)\) ⋮ BPS invariants for Seifert manifolds ⋮ 3 definitions of BF theory on homology 3-spheres ⋮ Modular transformations of homological blocks for Seifert fibered homology 3-spheres ⋮ The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. ⋮ Quantum invariants of three-manifolds obtained by surgeries along torus knots ⋮ A note on knot invariants and \(q\)-deformed 2d Yang-Mills ⋮ Cohomological localization of Chern-Simons theory ⋮ On \(p\)-adic convergence of perturbative invariants of some rational homology spheres ⋮ Five-dimensional fermionic Chern-Simons theory ⋮ Chern-Simons invariants and heterotic superpotentials ⋮ Torsion and symplectic volume in Seifert manifolds ⋮ Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications ⋮ The partition function of a 3-dimensional topological scalar-vector model ⋮ Worldsheet derivation of a large \(N\) duality ⋮ Semiclassical approximation for Chern-Simons theory and \(3\)-hyperbolic invariants. ⋮ Invariants of Three-Manifolds, Unitary Representations of the Mapping Class Group, and Numerical Calculations ⋮ Asymptotic properties of the quantum representations of the mapping class group ⋮ On the quantum invariants for the spherical Seifert manifolds ⋮ Chern-Simons theory and topological strings ⋮ Remarks on Chern-Simons theory ⋮ Quantum Barnes function as the partition function of the resolved conifold ⋮ On the quantum \(\mathrm{SU}(2)\) invariant at \(q= \exp (4\pi \sqrt{-1}/N)\) and the twisted Reidemeister torsion for some closed 3-manifolds ⋮ CHERN–SIMONS THEORY, EXACTLY SOLVABLE MODELS AND FREE FERMIONS AT FINITE TEMPERATURE ⋮ From simplicial Chern-Simons theory to the shadow invariant I ⋮ ON THE ASYMPTOTIC EXPANSION OF THE QUANTUM SU(2)<i> </i>INVARIANT AT <i>ζ =</i> <i>e</i><sup>4</sup><i><sup>πi/r </sup></i>FOR LENS SPACE <i>L</I> (<i>p, q</i>)
Cites Work
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- Computer calculation of Witten's 3-manifold invariant
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- Two dimensional gauge theories revisited
- Invariants of 3-manifolds via link polynomials and quantum groups
- An extension of Casson’s invariant to rational homology spheres
- Instanton Homology of Seifert Fibred Homology Three Spheres
- Reidemeister torsion, spectral sequences, and Brieskorn spheres.
- Topological methods to compute Chern-Simons invariants
- PERTURBATIVE CHERN-SIMONS THEORY
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