Concepedia

Jones Polynomial

The Jones Polynomial is a Laurent polynomial invariant of oriented knots and links in the variable \( t^{1/2} \) that assigns to each knot or link a quantity preserved under ambient isotopy, distinguished from other knot polynomials by its skein relation and its derivation from representations of the braid group into the Temperley–Lieb algebra.

372

Publications

23.7K

Citations

346

Authors

251

Institutions

Publications per year

2017–2026

28

Parents

Publications

372

Quantum field theory and the Jones polynomial

Edward Witten · Communications in Mathematical Physics · 1989 · 4.9K citations

, , +7

A categorification of the Jones polynomial

Mikhail Khovanov · Duke Mathematical Journal · 2000 · 997 citations · Full text

, , +14

On the computational complexity of the Jones and Tutte polynomials

François Jaeger, Dirk Vertigan, Dominic Welsh · Mathematical Proceedings of the Cambridge Philosophical Society · 1990 · 497 citations

, , +13

A spanning tree expansion of the jones polynomial

Morwen Thistlethwaite · Topology · 1987 · 472 citations

, , +9

Jones polynomials and classical conjectures in knot theory

Kunio Murasugi · Topology · 1987 · 411 citations

, , +14

1–5 of 372

Authors

346

  1. SG
    Stavros Garoufalidis

    Georgia Institute of Technology, United States

    16 publications · 643 citations

    13

    h-index

  2. HM
    Hitoshi Murakami

    University of California San Diego, United States

    9 publications · 690 citations

    9

    h-index

  3. LH
    Louis H. Kauffman

    University of Illinois Chicago, United States

    9 publications · 579 citations

    9

    h-index

  4. AS
    A. Stoimenow

    Max Planck Institute for Mathematics, Germany

    8 publications · 233 citations

    8

    h-index

  5. MT
    Morwen Thistlethwaite

    University of Tennessee at Knoxville, United States

    7 publications · 818 citations

    7

    h-index

1–5 of 346

Institutions

251

  1. The University of Tokyo

    Tokyo, Japan

    13 h-index

    16 publications

    654 citations

  2. Georgia Institute of Technology

    Atlanta, United States

    11 h-index

    14 publications

    569 citations

  3. University of Illinois Chicago

    Chicago, United States

    10 h-index

    10 publications

    344 citations

  4. Michigan State University

    East Lansing, United States

    8 h-index

    11 publications

    749 citations

  5. Columbia University

    New York, United States

    8 h-index

    10 publications

    661 citations

  6. California Institute of Technology

    Pasadena, United States

    8 h-index

    15 publications

    528 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    8 h-index

    15 publications

    344 citations

  8. University of Iowa

    Iowa City, United States

    8 h-index

    8 publications

    482 citations

1–8 of 251

Venues

  1. Journal of Knot Theory and Its Ramifications

    50 publications · 1.4K citations

    24

    h-index

  2. Algebraic & Geometric Topology

    AGT · 17 publications · 994 citations

    16

    h-index

  3. ArXiv.org

    Repository · 27 publications · 813 citations

    16

    h-index

  4. arXiv (Cornell University)

    Repository · 18 publications · 383 citations

    12

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 14 publications · 440 citations

    11

    h-index

1–5