Concepedia

Noncommutative Geometry

Noncommutative Geometry is a mathematical framework in which geometric spaces are represented and studied through noncommutative algebras of operators, generalizing classical geometry by replacing commutative algebras of functions on spaces with noncommutative analogues to model quantum and discrete structures in quantum gravity.

2.4K

Publications

129.9K

Citations

2.1K

Authors

987

Institutions

Publications per year

2017–2026

250

Parents

Publications

2.4K

String theory and noncommutative geometry

Journal of High Energy Physics · 1999 · 3.7K citations · Full text

, , +12

String Theory and Noncommutative Geometry

1999 · 3.2K citations

, , +12

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi></mml:math>theory as a matrix model: A conjecture

T. Banks, Willy Fischler, Stephen H. Shenker et al. · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997 · 2.8K citations · Full text

, , +12

Noncommutative Geometry

Alain Connes, Joachim Cuntz, Marc A. Rieffel · Oberwolfach Reports · 2010 · 2.3K citations

, , +17

Noncommutative field theory

Michael R. Douglas, Nikita Nekrasov · Reviews of Modern Physics · 2001 · 2.1K citations · Full text

, , +13

1–5 of 2.4K

Authors

2.1K

  1. AC
    Alain Connes

    Institut des Hautes Études Scientifiques, France

    47 publications · 11.8K citations

    31

    h-index

  2. FL
    Fedele Lizzi

    Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Italy

    28 publications · 1K citations

    19

    h-index

  3. SM
    Shahn Majid

    University of Cambridge, United Kingdom

    23 publications · 1.8K citations

    16

    h-index

  4. PP
    P. Prešnajder

    Comenius University Bratislava, Slovakia

    17 publications · 1.6K citations

    16

    h-index

  5. RJ
    Richard J. Szabo

    Heriot-Watt University, United Kingdom

    18 publications · 2.5K citations

    16

    h-index

1–5 of 2.1K

Institutions

987

  1. Centre National de la Recherche Scientifique

    Paris, France

    29 h-index

    100 publications

    5.4K citations

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli

    Naples, Italy

    28 h-index

    114 publications

    4.4K citations

  3. Institut des Hautes Études Scientifiques

    Bures-sur-Yvette, France

    25 h-index

    49 publications

    20.7K citations

  4. Laboratoire de Physique Théorique

    Toulouse, France

    25 h-index

    63 publications

    4.4K citations

  5. Centre de Physique Théorique

    Marseille, France

    21 h-index

    56 publications

    2.1K citations

  6. The University of Tokyo

    Tokyo, Japan

    21 h-index

    35 publications

    1.3K citations

  7. Université Paris Cité

    Paris, France

    20 h-index

    42 publications

    3.1K citations

  8. Collège de France

    Paris, France

    20 h-index

    26 publications

    2.9K citations

1–8 of 987

Venues

  1. Journal of High Energy Physics

    JHEP · 151 publications · 12.9K citations

    47

    h-index

  2. 40

    h-index

  3. Physics Letters B

    96 publications · 6.6K citations

    38

    h-index

  4. Journal of Mathematical Physics

    114 publications · 6.4K citations

    38

    h-index

  5. Nuclear Physics B

    63 publications · 5.8K citations

    35

    h-index

1–5