Almost integral TQFTs from simple Lie algebras.
The colored Jones function is -holonomic.
Two applications of elementary knot theory to Lie algebras and Vassiliev invariants.
Analyticity of the free energy of a closed 3-manifold.
Local Rules for Pentagonal Quasi-Crystals.
Quantum invariants of periodic links and periodic 3-manifolds
We give criteria for framed links and 3-manifolds to be periodic of prime order. As applications we show that the Poincaré sphere is of periodicity 2, 3, 5 only and the Brieskorn sphere Σ(2,3,7) is of periodicity 2, 3, 7 only.
The universal Vassiliev-Kontsevich invariant for framed oriented links
Unified quantum invariants and their refinements for homology 3-spheres with 2-torsion
For every rational homology 3-sphere with H₁(M,ℤ) = (ℤ/2ℤ)ⁿ we construct a unified invariant (which takes values in a certain cyclotomic completion of a polynomial ring) such that the evaluation of this invariant at any odd root of unity provides the SO(3) Witten-Reshetikhin-Turaev invariant at this root, and at any even root of unity the SU(2) quantum invariant. Moreover, this unified invariant splits into a sum of the refined unified invariants dominating spin and cohomological refinements of...
Page 1