p-Adic framed braids
TLDR
In this paper, the p-adic framed braid group F ∞, n, arising as the inverse limit of the modular framed braids, is defined and approximated.About:
This article is published in Topology and its Applications.The article was published on 2007-04-15 and is currently open access. It has received 33 citations till now. The article focuses on the topics: Braid group & Braid theory.read more
Citations
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Journal ArticleDOI
An invariant for singular knots
TL;DR: In this paper, a Jones-type invariant for singular knots using a Markov trace on the Yokonuma-Hecke algebras Yd,n(u) and the theory of singular braids was introduced.
Journal ArticleDOI
Representation theory of the Yokonuma–Hecke algebra
TL;DR: In this article, the authors developed an inductive approach to the representation theory of the Yokonuma-Hecke algebra Y d, n ( q ), based on the study of the spectrum of its Jucys-Murphy elements which are defined here.
Journal ArticleDOI
p-adic framed braids II
TL;DR: In this paper, the structure of the p -adic framed braids and the p-adic Yokonuma-Hecke algebras constructed by Juyumaya and Lambropoulou (2007) were explored further by means of dense sub-structures approximating p-ads elements.
Journal ArticleDOI
Identifying the invariants for classical knots and links from the yokonuma{hecke algebras
TL;DR: In this article, a family of 2-variable polynomial invariants for classical links dened via a Markov trace on the Yokonuma{Hecke algebra of type A is presented.
Book ChapterDOI
An Adelic Extension of the Jones Polynomial
TL;DR: In this article, the completion of the framed braid group and the adelic Yokonuma-Hecke algebras were introduced, in analogy to the p-adic framed braids.
References
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Hecke algebra representations of braid groups and link polynomials
TL;DR: In this paper, a polynomial invariant in two variables for oriented links was obtained by studying representations of the braid group satisfying a certain quadratic relation, and expressed using a trace, discovered by Ocneanu, on the Hecke algebras of type A.
Book
A Course in p-adic Analysis
TL;DR: In this article, the basic principles of Ultrametric analysis are defined and a construction of Universal p-adic Fields is described. But the construction of universal padic fields is not discussed.
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A Representation of Orientable Combinatorial 3-Manifolds
TL;DR: In this paper, it was shown that every closed, connected, orientable, 3-manifold is obtainable from S3 in the same way as shown in this paper.