Relevant bibliographies by topics / Invariants de Links-Gould

Contents

  1. Journal articles
  2. Dissertations / Theses

Academic literature on the topic 'Invariants de Links-Gould'

Author: Grafiati
Published: 4 June 2021
Last updated: 16 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Invariants de Links-Gould.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Invariants de Links-Gould"

1

DE WIT, DAVID, JON R. LINKS, and LOUIS H. KAUFFMAN. "On the Links–Gould Invariant of Links." Journal of Knot Theory and Its Ramifications 08, no. 02 (1999): 165–99. http://dx.doi.org/10.1142/s0218216599000110.

Full text
Abstract:
[Formula: see text] We introduce and study in detail an invariant of (1, 1) tangles. This invariant, derived from a family of four dimensional representations of the quantum superalgebra Uq[gl(2|1)], will be referred to as the Links–Gould invariant. We find that our invariant is distinct from the Jones, HOMFLY and Kauffman polynomials (detecting chirality of some links where these invariants fail), and that it does not distinguish mutants or inverses. The method of evaluation is based on an abstract tensor state model for the invariant that is quite useful for computation as well as theoretica
APA, Harvard, Vancouver, ISO, and other styles
2

De Wit, David. "An Infinite Suite of Links–Gould Invariants." Journal of Knot Theory and Its Ramifications 10, no. 01 (2001): 37–62. http://dx.doi.org/10.1142/s0218216501000718.

Full text
Abstract:
This paper describes a method to obtain state model parameters for an infinite series of Links–Gould link invariants LGm,n, based on quantum R matrices associated with the [Formula: see text] representations of the quantum superalgebras Uq[gl(m|n)]. Explicit details of the state models for the cases n=1 and m=1, 2, 3, 4 are supplied. Some gross properties of the link invariants are provided, as well as some explicit evaluations.
APA, Harvard, Vancouver, ISO, and other styles
3

Kohli, Ben-Michael. "On the Links–Gould invariant and the square of the Alexander polynomial." Journal of Knot Theory and Its Ramifications 25, no. 02 (2016): 1650006. http://dx.doi.org/10.1142/s0218216516500061.

Full text
Abstract:
This paper gives a connection between well-chosen reductions of the Links–Gould invariants of oriented links and powers of the Alexander–Conway polynomial. This connection is obtained by showing the representations of the braid groups we derive the specialized Links–Gould polynomials from can be seen as exterior powers of a direct sum of Burau representations.
APA, Harvard, Vancouver, ISO, and other styles
4

Kohli, Ben-Michael, and Bertrand Patureau-Mirand. "Other quantum relatives of the Alexander polynomial through the Links-Gould invariants." Proceedings of the American Mathematical Society 145, no. 12 (2017): 5419–33. http://dx.doi.org/10.1090/proc/13699.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

ISHII, ATSUSHI. "THE LINKS–GOULD INVARIANT OF CLOSED 3-BRAIDS." Journal of Knot Theory and Its Ramifications 13, no. 01 (2004): 41–56. http://dx.doi.org/10.1142/s0218216504003032.

Full text
Abstract:
In this paper, we study the Links–Gould invariant of closed 3-braids. We consider the algebra generated by the image of the 3-string braid group by the linear representation which yields the Links–Gould invariant. We find fundamental linear relations among natural generators of the algebra, and we obtain a basis of the algebra. The relations allow us to evaluate the invariant of closed 3-braids recursively. As an application we give a computer program to calculate the invariant for closed 3-braids.
APA, Harvard, Vancouver, ISO, and other styles
6

Ishii, Atsushi. "Algebraic links and skein relations of the Links-Gould invariant." Proceedings of the American Mathematical Society 132, no. 12 (2004): 3741–49. http://dx.doi.org/10.1090/s0002-9939-04-07481-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

De Wit, David. "Automatic Evaluation of the Links–Gould Invariant for all Prime Knots of up to 10 Crossings." Journal of Knot Theory and Its Ramifications 09, no. 03 (2000): 311–39. http://dx.doi.org/10.1142/s0218216500000153.

Full text
Abstract:
This paper describes a method for the automatic evaluation of the Links–Gould two-variable polynomial link invariant (LG) for any link, given only a braid presentation. This method is currently feasible for the evaluation of LG for links for which we have a braid presentation of string index at most 5. Data are presented for the invariant, for all prime knots of up to 10 crossings and various other links. LG distinguishes between these links, and also detects the chirality of those that are chiral. In this sense, it is more sensitive than the well-known two-variable HOMFLY and Kauffman polynom
APA, Harvard, Vancouver, ISO, and other styles
8

DE WIT, DAVID, and JON LINKS. "WHERE THE LINKS–GOULD INVARIANT FIRST FAILS TO DISTINGUISH NONMUTANT PRIME KNOTS." Journal of Knot Theory and Its Ramifications 16, no. 08 (2007): 1021–41. http://dx.doi.org/10.1142/s0218216507005658.

Full text
Abstract:
It is known that the first two-variable Links–Gould quantum link invariant LG ≡ LG2,1 is more powerful than the HOMFLYPT and Kauffman polynomials, in that it distinguishes all prime knots (including reflections) of up to 10 crossings. Here we report investigations which greatly expand the set of evaluations of LG for prime knots. Through them, we show that the invariant is complete, modulo mutation, for all prime knots (including reflections) of up to 11 crossings, but fails to distinguish some nonmutant pairs of 12-crossing prime knots. As a byproduct, we classify the mutants within the prime
APA, Harvard, Vancouver, ISO, and other styles
9

Kohli, Ben-Michael. "The Links–Gould Invariant as a Classical Generalization of the Alexander Polynomial?" Experimental Mathematics 27, no. 3 (2016): 251–64. http://dx.doi.org/10.1080/10586458.2016.1255860.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Anghel, Cristina Ana-Maria. "A combinatorial description of the centralizer algebras connected to the Links–Gould invariant." Algebraic & Geometric Topology 21, no. 3 (2021): 1553–93. http://dx.doi.org/10.2140/agt.2021.21.1553.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Invariants de Links-Gould"

1

Kohli, Ben-Michael. "Les invariants de Links-Gould comme généralisations du polynôme d’Alexander." Thesis, Dijon, 2016. http://www.theses.fr/2016DIJOS062/document.

Full text
Abstract:
On s’intéresse dans cette thèse aux rapports qui existent entre deux invariants d’entrelacs. D’une part l’invariant d’Alexander ∆ qui est l’invariant de nœuds le plus classique, et le plus étudié avec le polynôme de Jones, et d’autre part la famille des invariants de Links-Gould LGn,m qui sont des invariants quantiques dérivés des super algèbres de Hopf Uqgl(n|m). On démontre en particulier un cas de la conjecture de De Wit-Ishii-Links : certaines spécialisa- tions des polynômes de Links-Gould fournissent des puissances du polynôme d’Alexander. Les polynômes LG sont donc des généralisations du
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography