Concepedia

Braid Diagrams

Braid Diagrams is a diagrammatic representation that encodes the algebraic structure of braids in braid groups by depicting strands as vertical curves that cross over or under each other, with time progressing downward, thereby visualizing the generators and relations of the Artin braid group through planar topology and isotopy.

499

Publications

24.6K

Citations

641

Authors

418

Institutions

Publications per year

2017–2026

54

Parents

Publications

499

Surface codes: Towards practical large-scale quantum computation

Austin G. Fowler, M. Mariantoni, John M. Martinis et al. · Physical Review A · 2012 · 3K citations · Full text

, , +17

Ribbon graphs and their invaraints derived from quantum groups

Nicolai Reshetikhin, Vladimir G. Turaev · Communications in Mathematical Physics · 1990 · 1.1K citations

, , +12

THE BRAID GROUP AND OTHER GROUPS

Frank Garside · The Quarterly Journal of Mathematics · 1969 · 657 citations · Full text

, , +9

Superselection sectors with braid group statistics and exchange algebras

Klaus Fredenhagen, Karl-Henning Rehren, Bert Schroer · Communications in Mathematical Physics · 1989 · 456 citations

, , +12

Non-planar massless two-loop Feynman diagrams with four on-shell legs

Physics Letters B · 1999 · 362 citations · Full text

, , +7

1–5 of 499

Authors

641

  1. JS
    Joan S. Birman

    Columbia University, United States

    14 publications · 718 citations

    12

    h-index

  2. PD
    Patrick Dehornoy

    Laboratoire de Mathématiques Nicolas Oresme

    8 publications · 369 citations

    8

    h-index

  3. SL
    Sofia Lambropoulou

    National Technical University of Athens, Greece

    8 publications · 312 citations

    8

    h-index

  4. WW
    William W. Menasco

    University at Buffalo, State University of New York, United States

    8 publications · 475 citations

    8

    h-index

  5. HR
    H. R. Morton

    University of Liverpool, United Kingdom

    6 publications · 722 citations

    6

    h-index

1–5 of 641

Institutions

418

  1. Centre National de la Recherche Scientifique

    Paris, France

    17 h-index

    30 publications

    1K citations

  2. Columbia University

    New York, United States

    16 h-index

    21 publications

    1.2K citations

  3. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    12 h-index

    15 publications

    488 citations

  4. Laboratoire de Mathématiques Nicolas Oresme

    Caen, France

    11 h-index

    13 publications

    419 citations

  5. University at Buffalo, State University of New York

    Buffalo, United States

    9 h-index

    11 publications

    676 citations

  6. Kyoto University

    Kyoto, Japan

    9 h-index

    9 publications

    172 citations

  7. University of Liverpool

    Liverpool, United Kingdom

    8 h-index

    8 publications

    761 citations

  8. Sobolev Institute of Mathematics

    Novosibirsk, Russia

    8 h-index

    9 publications

    280 citations

1–8 of 418

Venues

  1. Journal of Algebra

    26 publications · 1.2K citations

    21

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 22 publications · 1K citations

    16

    h-index

  3. Journal of Knot Theory and Its Ramifications

    26 publications · 792 citations

    16

    h-index

  4. Journal of Pure and Applied Algebra

    19 publications · 683 citations

    15

    h-index

  5. Communications in Mathematical Physics

    18 publications · 2.6K citations

    14

    h-index

1–5