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Polynomial knot invariant

In the mathematical field of knot theory, a knot polynomial is a knot invariant in the form of a polynomial whose coefficients encode some of the properties of a given knot.

This is an excerpt from the article Polynomial knot invariant from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

This is an excerpt from the article Polynomial knot invariant from the Wikipedia free encyclopedia. A list of authors is available at Wikipedia.

The article Polynomial knot invariant at en.wikipedia.org was accessed 11 times in the last 30 days. (as of: 12/22/2013)

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Knot polynomial - Wikipedia, the free encyclopedia

In the mathematical field of knot theory, a knot polynomial is a knot invariant in the form of a polynomial whose coefficients encode some of the properties of a ...

en.wikipedia.org/wiki/Knot_polynomial

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Jones polynomial - Wikipedia, the free encyclopedia

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is an invariant of an ...

en.wikipedia.org/wiki/Jones_polynomial

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Alexander polynomial - Wikipedia, the free encyclopedia

In mathematics, the Alexander polynomial is a knot invariant which assigns a polynomial with integer coefficients to each knot type. James Waddell Alexander II ...

en.wikipedia.org/wiki/Alexander_polynomial

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Knot invariant - Wikipedia, the free encyclopedia

Other examples are knot polynomials, such as the Jones polynomial, which are currently among the most useful invariants for distinguishing knots from one ...

en.wikipedia.org/wiki/Knot_invariant

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Topological invariants of knots: three routes to the Alexander ... - UCL

May 14, 2005 ... logical invariants of knots and links, in which the author introduces the Alexander polynomial. While doing background reading on the subject, ...

www.ucl.ac.uk/~ucbpeal/alexandermac.pdf

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Polynomial Invariants of Knots - Albany Consort

Polynomial. Invariants of Knots. Why would we need a polynomial to identify a knot? Well, if we were to use simply a number, such as the bridge number ...

www.albanyconsort.com/polyinv/polyinv.pdf

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Knot Invariant -- from Wolfram MathWorld

Standard knot invariants include the fundamental group of the knot complement, numerical knot invariants (such as Vassiliev invariants), polynomial invariants ...

mathworld.wolfram.com/KnotInvariant.html

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Alexander Polynomial -- from Wolfram MathWorld

The Alexander polynomial is a knot invariant discovered in 1923 by J. W. Alexander (Alexander 1928). The Alexander polynomial remained the only known knot ...

mathworld.wolfram.com/AlexanderPolynomial.html

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Knot Theory Invariants: The HOMFLY Polynomial - Library

A brief article on the HOMFLY polynomial and how it is calculated.

library.thinkquest.org/12295/data/Invariants/Articles/HOMFLY.html

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Knot Theory Invariants: The Jones Polynomial - Library

The Jones Polynomial. Historical Background. The Jones Polynomial was discovered by Vaughan F. R. Jones in 1984. Unlike the Alexander Polynomial, the ...

library.thinkquest.org/12295/data/Invariants/Articles/Jones.html

Search results for "Polynomial knot invariant"

Google: approx. 188.000

Polynomial knot invariant in science

KnotInfo - Indiana University

Knot polynomials and Vassiliev's invariants - Springer

Since Vassiliev's knot invariants have a firm grounding in classical topology, one ... a first step in understanding the Jones polynomial by topological methods. ... 1. Department of Mathematics, Columbia University, 10027, New York, NY, USA ...

Knot theory - Wikipedia, the free encyclopedia

Important invariants include knot polynomials, knot groups, and hyperbolic ..... Sossinsky, Alexei (2002), Knots, mathematics with a twist, Harvard University ...

[PDF]The New Polynomial Invariants of Knots and Links - University of ...

Jun 26, 2007 ... The New Polynomial Invariants of Knots and Links. W. B. R. Lickorish; K. C. Millett . Mathematics Magazine, Vol. 61, No. 1. (Feb., 1988), pp. 3-23 ...

Columbia Geometric Topology Seminar - Columbia University

Noah Snyder, Columbia University, “Knot polynomial identities and coincidences of small quantum groups”. I'll introduce skein theoretic knot invariants coming ...

Vassiliev Invariant -- from Wolfram MathWorld

The notion of finite type (a.k.a. Vassiliev) knot invariants was independently invented by ... Vassiliev invariants are at least as strong as all known polynomial knot ... Lectures delivered at Graduate School of Mathematical Sciences, University of ...

[PDF]VASSILIEV INVARIANTS AS POLYNOMIALS

VASSILIEV INVARIANTS AS POLYNOMIALS. SIMON WILLERTON. Department of Mathematics and Statistics, University of Edinburgh. James Clerk Maxwell ...

Dror Bar-Natan: Publications

We claim that the invariant contains the classical Alexander polynomial of knots and its multivariable extension to links. We argue that of the computationally ...

Quantum Curves and Quantum Knot Invariants - Banff International ...

Motohico Mulase (University of California, Davis) ... Compared to these, the A-polynomials of knots are “classical” invariants, in the sense of classical mechanics ...

Books on the term Polynomial knot invariant

Bifurcations and Periodic Orbits of Vector Fields

Appendix: Polynomial. invariants. The knot and link invariants used in this paper have all been numerical invariants, that is, ... Analogously, a great deal of attention of late has centered around polynomial knot and link invariants, which we ...

Beginning topology

Braid groups are particularly useful in applications of knot theory to statistical mechanics and played an instrumental role in Jones's discovery of an important Polynomial knot invariant. (We take a look at knot polynomials in the next section. ) ...

Braid Group, Knot Theory, and Statistical Mechanics II

_5_£, 365- 378(1983). 47) Hennings, M.A., "A polynomial invariant for banded links" (preprint 1988). 48) Hitt, L.R., and Silver, D.S., "Stalling's twists and the Jones polynomial" (to appear). 49) Ho, C.F., "A new polynomial invariant for knots and ...

Loops, Knots, Gauge Theories and Quantum Gravity

10.3.2 Skein relations, ambient and regular isotopies A knot (or link) polynomial is an assignment of a finite set of numbers to a knot (or link) that is invariant under ambient or regular isotopies. Given a knot 7 one gets a polynomial* P(J)q in an ...

Notions of positivity and the geometry of polynomials

We describe the algebra of finite-order invariants on the set of all ( ,2)-torus knots. Mathematics Subject Classification (2000). 57M27. Keywords. Finite type invariants, torus knots, polynomials. This paper is an extended exposition of the talk ...

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Blog posts on the term

Polynomial knot invariant

Polynomial knot invariant

Knot polynomial identities and quantum group coincidences (February) | Secret Blogging Seminar

Representation theory, geometry and whatever else we decide is worth writing about today.

sbseminar.wordpress.com/2010/03/01/knot-polynomial-identities-and-quantum-group-coincidences-february/
The Alexander Polynomial as a Quantum Invariant: Part 2 | Low Dimensional Topology

Recent Progress and Open Problems

ldtopology.wordpress.com/2010/02/02/the-alexander-polynomial-as-a-quantum-invariant-part-2/
Transactions of the Moscow Mathematical Society
www.ams.org/jourcgi/jour-getitem?pii=S0077-1554-2012-00188-5

Multiplication by Infinity: Knot Theory (and the Jones Polynomial)

It is shown that 2+1 dimensional quantum Yang-Mills theory, with an action consisting purely of the Chern-Simons term, is exactly soluble and gives a natural framework for understanding the Jones polynomial of knot theory in three dimensional terms. In this version, the Jones polynomial can be generalized fromS 3 to arbitrary three manifolds, giving invariants of three manifolds that are computable from a surgery presentation.

tetrahedral.blogspot.com/2011/03/knot-theory.html
TGD diary: Witten's talk about knot invariants

Lubos gave a link to a recent talk of Witten about knots and quantum physics. While listening the lecture one senses the enormous respect and -I dare say- love that the audience feels towards this silently talking genius completely free of all what might be called ego.

matpitka.blogspot.com/2011/01/wittens-talk-about-knot-invariants.html
Unknotting knot theory | Numbers | Science News
www.sciencenews.org/view/generic/id/38237/description/Unknotting_knot_theory

6.2 Polynomials of Alternating Knots | VeRTEx

A research group in mathematics at the University of Oklahoma

vertexmath.wordpress.com/2009/08/05/6-2-polynomials-of-alternating-knots/
What is Knot Homology? « The Unapologetic Mathematician

Mathematics for the interested outsider (by John Armstrong)

unapologetic.wordpress.com/2007/07/11/what-is-knot-homology/
Quantum Invariants: A Study of Knots, 3-: A Study of Knots, 3-manifolds and Their Sets book downloads - rubinui

Quantum Invariants: A Study of Knots, 3-: A Study of Knots, 3-manifolds and Their Sets book download
Tomotada Ohtsuki
Download Quantum Invariants: A Study of Knots, 3-: A Study of Knots, 3-manifolds and Their Sets
Their relation to the TQFTs. Polynomial invariants of knots , such as the Jones and.

blogs.rediff.com/rubinui/2013/05/05/quantum-invariants-a-study-of-knots-3-a-study-of-knots-3-manifolds-and-their-sets-book-downloads/
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