Results 21 to 30 of about 120,659 (273)

Knot state asymptotics I, AJ Conjecture and abelian representations [PDF]

open access: yes, 2011
Consider the Chern-Simons topological quantum field theory with gauge group SU(2) and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an element in a vector space.
Charles, Laurent, Marche, Julien
core   +5 more sources

Introduction to disoriented knot theory

open access: yesOpen Mathematics, 2018
This paper is an introduction to disoriented knot theory, which is a generalization of the oriented knot and link diagrams and an exposition of new ideas and constructions, including the basic definitions and concepts such as disoriented knot ...
Altıntaş İsmet
doaj   +1 more source

Neutrosophic Graphs of Finite Groups [PDF]

open access: yesNeutrosophic Sets and Systems, 2017
Most of the real world problems in the fields of philosophy, physics, statistics, finance, robotics, design theory, coding theory, knot theory, engineering, and information science contain subtle uncertainty and inconsistent, which causes complexity and
T. Chalapathi, R. V M S S Kiran Kumar
doaj   +1 more source

Topology And Tradition: The Knot Polynomials of Ketupat Nabi [PDF]

open access: yesITM Web of Conferences
This study explores the intersection of mathematics and culinary traditions, focusing on “Ketupat Nabi,” a dish from South Sulawesi’s Bugis community. By applying knot theory, it seeks to understand the mathematical properties of the dish’s knot diagrams.
Ja’faruddin, When Haw Chen
doaj   +1 more source

Węzeł i supeł: Od metaforyzacji do materioforyzacji dyskursów teoretycznych

open access: yesPamiętnik Teatralny, 2022
This article attempts a critical reflection on the metaphorization of contemporary theoretical discourses, using the example of the metaphor of the knot.
Filip Ryba
doaj   +1 more source

Virtual Knot Theory

open access: yesEuropean Journal of Combinatorics, 1999
Virtual knot theory is a generalization (discovered by the author in 1996) of knot theory to the study of all oriented Gauss codes. (Classical knot theory is a study of planar Gauss codes.) Graph theory studies non-planar graphs via graphical diagrams with virtual crossings.
openaire   +3 more sources

Virtual Biquandles [PDF]

open access: yes, 2005
In the present paper, we describe new approaches for constructing virtual knot invariants. The main background of this paper comes from formulating and bringing together the ideas of biquandle (Kauffman and Radford) the virtual quandle (Manturov), the ...
Kauffman, Louis   +1 more
core   +3 more sources

On the universal deformations for SL_2-representations of knot groups

open access: yes, 2017
Based on the analogies between knot theory and number theory, we study a deformation theory for SL_2-representations of knot groups, following after Mazur's deformation theory of Galois representations.
Morishita, Masanori   +3 more
core   +1 more source

Learning knot invariants across dimensions

open access: yesSciPost Physics, 2023
We use deep neural networks to machine learn correlations between knot invariants in various dimensions. The three-dimensional invariant of interest is the Jones polynomial $J(q)$, and the four-dimensional invariants are the Khovanov polynomial $\text ...
Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar
doaj   +1 more source

Chromoelectric Knot in QCD

open access: yes, 2004
We argue that the Skyrme theory describes the chromomagnetic (not chromoelectric) dynamics of QCD. This shows that the Skyrme theory could more properly be interpreted as an effective theory which is dual to QCD, rather than an effective theory of QCD ...
Adkins   +41 more
core   +1 more source

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