5 papers
Quantum traces and embeddings of stated skein algebras into quantum tori
Thang T. Q. Lê, Tao Yu
The stated skein algebra of a punctured bordered surface (or equivalently, a marked surface) is a generalization of the well-known Kauffman bracket skein algebra of unmarked surfac…
Stated skein modules of marked 3-manifolds/surfaces, a survey
Thang T. Q. Lê, Tao Yu
We give a survey of some old and new results about the stated skein modules/algebras of 3-manifolds/surfaces. For generic quantum parameter, we discuss the splitting homomorphism f…
Discrete spectrum for amenable group actions
Tao Yu, Guohua Zhang, Ruifeng Zhang
In this paper, we study discrete spectrum of invariant measures for countable discrete amenable group actions. We show that an invariant measure has discrete spectrum if and only i…
Lower and Upper Bounds for Positive Bases of Skein Algebras
Thang T. Q. Lê, Dylan P. Thurston, Tao Yu
We show that the if a sequence of normalized polynomials gives rise to a positive basis of the skein algebra of a surface, then it is sandwiched between the two types of Chebyshev…
Some Sufficient Conditions on Pancyclic Graphs
Guidong Yu, Tao Yu, Axiu Shu +1
A pancyclic graph is a graph that contains cycles of all possible lengths from three up to the number of vertices in the graph. In this paper, we establish some new sufficient cond…