All-order volume conjecture for closed 3-manifolds from complex Chern-Simons theory
DOI10.1007/s00220-018-3115-yzbMath1478.57020arXiv1704.00918OpenAlexW2609369965WikidataQ123344928 ScholiaQ123344928MaRDI QIDQ1751295
Dongmin Gang, Mauricio Romo, Masahito Yamazaki
Publication date: 25 May 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.00918
Chern-Simons theoryperturbative expansionvolume conjectureWitten-Reshetikhin-Turaev invariantsclosed hyperbolic 3-manifoldsstate integral model
Finite-type and quantum invariants, topological quantum field theories (TQFT) (57K16) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Hyperbolic 3-manifolds (57K32) General topology of 3-manifolds (57K30)
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- On the SL\((2,\mathbb C)\) quantum \(6j\)-symbols and their relation to the hyperbolic volume
- Gauge theories labelled by three-manifolds
- \( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls
- On the asymptotic expansion of the Kashaev invariant of the \(5_2\) knot
- A representation of orientable combinatorial 3-manifolds
- Invariants for 3-manifolds from the combinatorics of the Jones polynomial
- Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function
- Exact results for perturbative Chern-Simons theory with complex gauge group
- Volume and bounded cohomology
- Volumes of hyperbolic three-manifolds
- Quantum field theory and the Jones polynomial
- Rational surgery calculus: Extension of Kirby's theorem
- The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
- Three-manifolds and the Temperley-Lieb algebra
- Calculations with the Temperley-Lieb algebra
- Three-manifold invariants derived from the Kauffman bracket
- A calculus for framed links in \(S^3\)
- Skein-theoretical derivation of some formulas of Habiro
- K-decompositions and 3d gauge theories
- 3d-3d correspondence revisited
- Refined 3d-3d correspondence
- 3d \(\;\mathcal{N}=2 \) minimal SCFTs from wrapped M5-branes
- On the asymptotic expansion of the quantum SU(2) invariant at \(q =exp(4{\pi}\sqrt{-1}/N\)) for closed hyperbolic 3-manifolds obtained by integral surgery along the figure-eight knot
- Extended Bloch group and the Cheeger-Chern-Simons class
- The quantum content of the gluing equations
- Invariants of 3-manifolds via link polynomials and quantum groups
- On the Kashaev invariant and the twisted Reidemeister torsion of two-bridge knots
- \(6j\)-symbols, hyperbolic structures and the volume conjecture
- A unified Witten-Reshetikhin-Turaev invariant for integral homology spheres
- A TQFT from quantum Teichmüller theory
- Quantum Riemann surfaces in Chern-Simons theory
- Three-dimensional quantum gravity, Chern-Simons theory, and the \(A\)-polynomial
- Quantization of Chern-Simons gauge theory with complex gauge group
- A LINK INVARIANT FROM QUANTUM DILOGARITHM
- N = 2 theories from cluster algebras
- Reidemeister torsion, hyperbolic three-manifolds, and character varieties
- An Introduction to the Volume Conjecture
- Taming supersymmetric defects in 3d–3d correspondence
- A polynomial invariant for knots via von Neumann algebras
- Modifications and Cobounding Manifolds
- THE SKEIN METHOD FOR THREE-MANIFOLD INVARIANTS
- QUANTUM DILOGARITHM
- On the asymptotic expansions of the Kashaev invariant of the knots with 6 crossings
- On the asymptotic expansions of the Kashaev invariant of hyperbolic knots with seven crossings
- Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
- The colored Jones polynomials and the simplicial volume of a knot