Thang T. Q. Lê

activity

20242026

collaborators

5 papers

math.GT2026

Kauffman bracket skein module of the connected sum of two solid tori

Rhea Palak Bakshi, Thang T. Q. LÃª, JÃ³zef H. Przytycki

We determine the structure of the Kauffman bracket skein module of the connected sum of two genus one handlebodies over the ring of Laurent polynomials $Z [q^{\pm 1}]$ , ther…

math.GT2025

Quantum traces for $S L_{n}$ -skein algebras

Thang T. Q. LÃª, Tao Yu

We establish the existence of several quantum trace maps. The simplest one is an algebra map between two quantizations of the algebra of regular functions on the $S L_{n}$ -character v…

math.GT2025

Frobenius homomorphisms for stated $SL_{n}$ -skein modules

Hyun Kyu Kim, Thang T. Q. LÃª, Zhihao Wang

The stated $SL_{n}$ -skein algebra $S_{q^} (S)$ of a surface $S$ is a quantization of the $SL_{n}$ -character variety, and is spanned over…

math.GT2024

Degenerations Of Skein Algebras And Quantum Traces

Wade Bloomquist, Hiroaki Karuo, Thang LÃª

We introduce a joint generalization, called LRY skein algebras, of Kauffman bracket skein algebras (of surfaces) that encompasses both Roger-Yang skein algebras and stated skein al…

math.QA2024

Stated SL(n)-Skein Modules and Algebras

Thang T. Q. LÃª, Adam S. Sikora

We develop a theory of stated SL(n)-skein modules, $S_{n} (M, N),$ of 3-manifolds $M$ marked with intervals $N$ in their boundaries. They consist of linear combinations of $n$ -webs wit…