Showing 2024Show all
2 papers · 1 filter
math.GT2024
Patterns of the -polynomial of knots
Stavros Garoufalidis, Shana Yunsheng Li
Recently, Kashaev and the first author constructed an -matrix from a Nichols algebra with an automorphism, that leads, via the Reshetikhin--Turaev functor, to a multivariable po…
math.GT2024
Algebraic aspects of holomorphic quantum modular forms
Ni An, Stavros Garoufalidis, Shana Yunsheng Li
Matrix-valued holomorphic quantum modular forms are intricate objects that arise in successive refinements of the Volume Conjecture of knots and involve three holomorphic, asymptot…