Zobrazeno 1 - 10
of 598
pro vyhledávání: '"Le, Thang"'
The sliced skein algebra of a closed surface of genus $g$ with $m$ punctures, $\mathfrak{S}=\Sigma_{g,m}$, is the quotient of the Kauffman bracket skein algebra $\mathcal{S}_\xi(\mathfrak{S})$ corresponding to fixing the scalar values of its peripher
Externí odkaz:
http://arxiv.org/abs/2310.06189
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 algebras. We will show that, over an arbitrary ground ring which is a co
Externí odkaz:
http://arxiv.org/abs/2308.16702
Motivated by the Quantum Modularity Conjecture and its arithmetic aspects related to the Habiro ring of a number field, we define a map from the Kauffman bracket skein module of an integer homology 3-sphere to the Habiro ring, and use Witten's conjec
Externí odkaz:
http://arxiv.org/abs/2307.09135
Autor:
Lê, Thang T. Q., Yu, Tao
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 $SL_n$-character variety of a surface $\mathfrak{S}$ equipped with an ideal triangulatio
Externí odkaz:
http://arxiv.org/abs/2303.08082
This paper introduces an algebra structure on the part of the skein module of an arbitrary $3$-manifold $M$ spanned by links that represent $0$ in $H_1(M;\mathbb{Z}_2)$ when the value of the parameter used in the Kauffman bracket skein relation is eq
Externí odkaz:
http://arxiv.org/abs/2212.04558
Autor:
Costantino, Francesco, Le, Thang T. Q.
We study the behaviour of the Kauffman bracket skein modules of 3-manifolds under gluing along surfaces. For this purpose we extend the notion of Kauffman bracket skein modules to $3$-manifolds with marking consisting of open intervals and circles in
Externí odkaz:
http://arxiv.org/abs/2206.10906
Autor:
Le, Thu Ha, Van Le, Thang, Bui, Van-Tan, Nguyen, Chinh Chien, Dinh, Minh Tuan Nguyen, Chau, Ngoc Mai, Bui, Van-Tien
Publikováno v:
In Nano Energy October 2024 129 Part A
Publikováno v:
Tehnički Vjesnik, Vol 31, Iss 1, Pp 79-87 (2024)
Fly ash and stone powder, which are abundant wastes in Central Vietnam, are viable alternatives to cement and sand in concrete production. However, this replacement may worsen the compressive strength and slump of concrete. This study deals with the
Externí odkaz:
https://doaj.org/article/87ac988b4aca40e3be89dad9efe4d6d4
Autor:
Lê, Thang T. Q., Sikora, Adam S.
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 with ends in $N$, considered up to skein relations inspired by the relati
Externí odkaz:
http://arxiv.org/abs/2201.00045
We prove that large classes of algebras in the framework of root of unity quantum cluster algebras have the structures of maximal orders in central simple algebras and Cayley-Hamilton algebras in the sense of Procesi. We show that every root of unity
Externí odkaz:
http://arxiv.org/abs/2107.11926