22 citations · 65 across the 9 of their papers we have counts for
5 papers · 1 filter
Laplace transform and universal sl(2) invariants
Anna Beliakova, Christian Blanchet, Thang Le
We develop a Laplace transform method for constructing universal invariants of 3-manifolds. As an application, we recover Habiro's theory of integer homology 3-spheres and extend i…
Quantum Invariants of Periodic Links and Periodic 3-Manifolds
Qi Chen, Thang Le
We give criteria for framed links and 3-manifolds to be periodic of prime order. As applications we show that the Poincare sphere is of periodicity 2, 3, 5 only and the Brieskorn s…
The quantum MacMahon Master Theorem
Stavros Garoufalidis, Thang TQ. Le, Doron Zeilberger
We state and prove a quantum-generalization of MacMahon's celebrated Master Theorem, and relate it to a quantum-generalization of the boson-fermion correspondence of Physics.
Representations of Double Affine Lie algebras
Vyjayanthi Chari, Thang Le
We study representations of the double affine Lie algebra associated to a simple Lie algebra. We construct a family of indecomposable integrable representations and identify their…
Quantum invariants of 3-manifolds: integrality, splitting, and perturbative expansion
Thang T. Q. Le
We consider quantum invariants of 3-manifolds associated with arbitrary simple Lie algebras. Using the symmetry principle we show how to decompose the quantum invariant as the prod…