Strong integrality of quantum invariants of 3-manifolds
From MaRDI portal
Publication:3506703
DOI10.1090/S0002-9947-07-04359-0zbMath1146.57020arXivmath/0512433OpenAlexW1989497783MaRDI QIDQ3506703
Publication date: 17 June 2008
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0512433
quantum invariantsrational homology 3-sphereOhtsuki seriesHabiro ringintegral homology 3-spherecyclotomic integrality
Related Items
Integrality and gauge dependence of Hennings TQFTs ⋮ A unified quantum \(SO(3)\) invariant for rational homology 3-spheres ⋮ Hopfological algebra and categorification at a root of unity: The first steps ⋮ ON THE VOLUME CONJECTURE FOR CABLES OF KNOTS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cyclotomic completions of polynomial rings
- Hecke algebra representations of braid groups and link polynomials
- Algebraic classification of linking pairings on 3-manifolds
- The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
- On a universal perturbative invariant of 3-manifolds
- Skein-theoretical derivation of some formulas of Habiro
- Quantum invariants of 3-manifolds: Integrality, splitting, and perturbative expansion
- A polynomial invariant of rational homology \(3\)-spheres
- Integrality and symmetry of quantum link invariants
- An integral form of the quantized enveloping algebra of \(sl_2\) and its completions
- Quadratic forms on finite groups, and related topics
- Integral modular categories and integrality of quantum invariants at roots of unity of prime order
- THE PSU(N) INVARIANTS OF 3-MANIFOLDS ARE ALGEBRAIC INTEGERS
- A simple proof of integrality of quantum invariants at prime roots of unity
- QuantumSO(3)-invariants dominate theSU(2)-invariant of Casson and Walker
- GENERALIZED GAUSSIAN SUMS CHERN-SIMONS-WITTEN-JONES INVARIANTS OF LEN-SPACES
- Integral lattices in TQFT
- Quantum invariants of knots and 3-manifolds
