645 citations · 6.4k across the 135 of their papers we have counts for
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On exotic modular tensor categories
Seung-moon Hong, Eric Rowell, Zhenghan Wang
It has been conjectured that every -TQFT is a Chern-Simons-Witten (CSW) theory labelled by a pair , where is a compact Lie group, and a cohomolog…
Universal manifold pairings and positivity
Michael H Freedman, Alexei Kitaev, Chetan Nayak +3
Gluing two manifolds M_1 and M_2 with a common boundary S yields a closed manifold M. Extending to formal linear combinations x=Sum_i(a_i M_i) yields a sesquilinear pairing p=<,> w…
Quantum SU(2) faithfully detects mapping class groups modulo center
Michael H. Freedman, Kevin Walker, Zhenghan Wang
The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k. In the case…
The two-eigenvalue problem and density of Jones representation of braid groups
Michael H. Freedman, Michael J. Larsen, Zhenghan Wang
Introduction 1. The two-eigenvalue problem 2. Hecke algebra representations of braid groups 3. Duality of Jones-Wenzl representations 4. Closed images of Jones-Wenzl sectors 5. Dis…
Random Walk on Knot Diagrams, Colored Jones Polynomial and Ihara-Selberg Zeta Function
Xiao-Song Lin, Zhenghan Wang
A model of random walk on knot diagrams is used to study the Alexander polynomial and the colored Jones polynomial of knots. In this context, the inverse of the Alexander polynomia…
Fermat limit and congruence of Ohtsuki invariants
Xiao-Song Lin, Zhenghan Wang
By calculating the Fermat limit of certain q-Fermat functions, we get explicit surgery formulae for the second and third Ohtsuki invariants for homology 3-spheres. The surgery form…