Concepedia

Riemann Surfaces

Riemann Surfaces is a one-dimensional complex manifold that generalizes the complex plane by enabling the consistent definition of holomorphic functions on surfaces with nontrivial topology.

3.5K

Publications

170.3K

Citations

3.5K

Authors

1.1K

Institutions

Publications per year

2017–2026

347

Variants

Riemann Surface

Parents

Publications

3.5K

The Yang-Mills equations over Riemann surfaces

Michael Atiyah, Raoul Bott · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1983 · 2K citations

, , +17

The Self-Duality Equations on a Riemann Surface

Nigel Hitchin · Proceedings of the London Mathematical Society · 1987 · 1.8K citations

, , +13

Three dimensional manifolds, Kleinian groups and hyperbolic geometry

William P. Thurston · Bulletin of the American Mathematical Society · 1982 · 1.4K citations · Full text

, , +15

SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

Juan Maldacena, Carlos Núñez · International Journal of Modern Physics A · 2001 · 1.2K citations · Full text

, , +15

Real hypersurfaces in complex manifolds

Shiing-Shen Chern, Jürgen Moser · Acta Mathematica · 1974 · 1.1K citations · Full text

, , +8

1–5 of 3.5K

Authors

3.5K

  1. CV
    Cumrun Vafa

    Harvard University, United States

    20 publications · 2.2K citations

    20

    h-index

  2. MN
    Mitsuru Nakai

    Nagoya University, Japan

    20 publications · 433 citations

    17

    h-index

  3. DG
    Davide Gaiotto

    Perimeter Institute, Canada

    13 publications · 2.1K citations

    13

    h-index

  4. SY
    Shing–Tung Yau

    Harvard University, United States

    14 publications · 1.1K citations

    13

    h-index

  5. SA
    Scott A. Wolpert

    University of Maryland, College Park, United States

    13 publications · 1.4K citations

    13

    h-index

1–5 of 3.5K

Institutions

1.1K

  1. Harvard University

    Cambridge, United States

    36 h-index

    83 publications

    10.8K citations

  2. Princeton University

    Princeton, United States

    33 h-index

    76 publications

    7.4K citations

  3. Institute for Advanced Study

    Princeton, United States

    33 h-index

    59 publications

    6.9K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    30 h-index

    122 publications

    3.8K citations

  5. The University of Tokyo

    Tokyo, Japan

    29 h-index

    56 publications

    3.8K citations

  6. Stanford University

    Stanford, United States

    27 h-index

    57 publications

    3.8K citations

  7. Universidad de Granada

    Granada, Spain

    27 h-index

    68 publications

    3.7K citations

  8. Stony Brook University

    Stony Brook, United States

    26 h-index

    65 publications

    2.7K citations

1–8 of 1.1K

Venues

  1. Annals of Mathematics

    92 publications · 12.5K citations

    57

    h-index

  2. Journal of Differential Geometry

    89 publications · 7.5K citations

    48

    h-index

  3. Journal of High Energy Physics

    JHEP · 144 publications · 6.9K citations

    47

    h-index

  4. Inventiones mathematicae

    75 publications · 6.1K citations

    39

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 131 publications · 4.6K citations

    34

    h-index

1–5