Concepedia

Knot Invariants

Knot Invariants is a mathematical property or function assigned to knots that remains unchanged under ambient isotopy, enabling the distinction between different knot types.

1.3K

Publications

66.7K

Citations

1.1K

Authors

546

Institutions

Publications per year

2017–2026

118

Parents

Publications

1.3K

A polynomial invariant for knots via von Neumann algebras

Vaughan F. R. Jones · Bulletin of the American Mathematical Society · 1985 · 1.7K citations · Full text

, , +14

A new polynomial invariant of knots and links

Peter Freyd, David N. Yetter, Jim Hoste et al. · Bulletin of the American Mathematical Society · 1985 · 1.2K citations · Full text

, , +12

On the Vassiliev knot invariants

Dror Bar-Natan · Topology · 1995 · 1K citations

, , +10

A classifying invariant of knots, the knot quandle

David Joyce · Journal of Pure and Applied Algebra · 1982 · 950 citations

, , +6

Invariants of algebraic curves and topological expansion

Benoît Eynard, Nicolas Orantin · Communications in Number Theory and Physics · 2007 · 799 citations · Full text

, , +13

1–5 of 1.3K

Authors

1.1K

  1. LH
    Louis H. Kauffman

    University of Illinois Chicago, United States

    26 publications · 1.2K citations

    19

    h-index

  2. MS
    Masahico Saito

    University of South Florida, United States

    17 publications · 1.1K citations

    14

    h-index

  3. VO
    Vassily Olegovich Manturov

    Lomonosov Moscow State University, Russia

    15 publications · 442 citations

    13

    h-index

  4. LN
    Lenhard Ng

    Duke University, United States

    13 publications · 526 citations

    13

    h-index

  5. HM
    Hitoshi Murakami

    University of California San Diego, United States

    15 publications · 1.1K citations

    13

    h-index

1–5 of 1.1K

Institutions

546

  1. Princeton University

    Princeton, United States

    25 h-index

    41 publications

    5K citations

  2. Columbia University

    New York, United States

    21 h-index

    38 publications

    4.6K citations

  3. University of Illinois Chicago

    Chicago, United States

    18 h-index

    29 publications

    1.2K citations

  4. California Institute of Technology

    Pasadena, United States

    18 h-index

    27 publications

    1.9K citations

  5. Indiana University Bloomington

    Bloomington, United States

    18 h-index

    33 publications

    1.5K citations

  6. Kyoto University

    Kyoto, Japan

    17 h-index

    27 publications

    771 citations

  7. Osaka City University

    Osaka, Japan

    17 h-index

    24 publications

    1.5K citations

  8. University of California, Berkeley

    Berkeley, United States

    17 h-index

    28 publications

    1.5K citations

1–8 of 546

Venues

  1. Journal of Knot Theory and Its Ramifications

    154 publications · 5.5K citations

    40

    h-index

  2. Topology

    44 publications · 4K citations

    27

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 51 publications · 3.3K citations

    24

    h-index

  4. Topology and its Applications

    47 publications · 1.4K citations

    23

    h-index

  5. Geometry & Topology

    34 publications · 2.8K citations

    23

    h-index

1–5