Shana Yunsheng Li

collaborators

4 papers

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.GT2026

Positivity and log concavity of the Links--Gould polynomial of knots

Stavros Garoufalidis, Shana Yunsheng Li, Josephine Yu

Motivated by the recent work of Harper--Kohli--Song--Tahar, we formulate a positivity, hole-free, and log-concavity conjecture for the Links--Gould polynomial of alternating links…

math.GT2026

Patterns of the $V_{2}$ -polynomial of knots

Stavros Garoufalidis, Shana Yunsheng Li

Recently, Kashaev and the first author constructed an $R$ -matrix from a Nichols algebra with an automorphism, that leads, via the Reshetikhin--Turaev functor, to a multivariable po…

math.GT2026

The complete $10$ -tetrahedra census of orientable cusped hyperbolic $3$ -manifolds

Shana Yunsheng Li

We extend the complete census of orientable cusped hyperbolic $3$ -manifolds to $10$ tetrahedra, giving the next $150730$ manifolds and their $496638$ minimal ideal triangulations.…

Fixed-parameter tractable computation of Reshetikhin--Turaev knot polynomials via tensor networks

Positivity and log concavity of the Links--Gould polynomial of knots

Patterns of the V2​-polynomial of knots

The complete 10-tetrahedra census of orientable cusped hyperbolic 3-manifolds

Patterns of the $V_{2}$ -polynomial of knots

The complete $10$ -tetrahedra census of orientable cusped hyperbolic $3$ -manifolds