3 papers
math.GT2026
The knot polynomial
Stavros Garoufalidis, Shana Yunsheng Li
We present the knot polynomial associated to the 12-dimensional sporadic Nichols algebra with automorphism, compute it for all knots with 16 crossings and di…
math.GT2026
Fixed-parameter tractable computation of Reshetikhin--Turaev knot polynomials via tensor networks
Shana Yunsheng Li
We give a thorough analysis of the time complexity of computing Reshetikhin--Turaev knot polynomials via tensor contractions on the associated tensor networks, showing that the com…
math.GT2025
The complete -tetrahedra census of orientable cusped hyperbolic -manifolds
Shana Yunsheng Li
We extend the complete census of orientable cusped hyperbolic -manifolds to tetrahedra, giving the next manifolds and their minimal ideal triangulations.…