Concepedia

Pseudo-holomorphic Curves

Pseudo-Holomorphic Curves is a mathematical concept in symplectic geometry referring to smooth maps from a Riemann surface into an almost complex manifold that satisfy the Cauchy-Riemann equation with respect to a given almost complex structure compatible with the symplectic form.

111

Publications

7.1K

Citations

93

Authors

61

Institutions

Publications per year

2017–2026

7

Variants

J-holomorphic Curves

Parents

Publications

111

Pseudo holomorphic curves in symplectic manifolds

M. Gromov · Inventiones mathematicae · 1985 · 2.1K citations

, , +10

Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three

Helmut Hofer · Inventiones mathematicae · 1993 · 437 citations

, , +11

SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves

Clifford Henry Taubes · Journal of the American Mathematical Society · 1996 · 321 citations · Full text

, , +8

Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I

Yong‐Geun Oh · Communications on Pure and Applied Mathematics · 1993 · 260 citations

, , +12

The Structure of Branch Points in Minimal Surfaces and in Pseudoholomorphic Curves

Mario Micallef, Brian White · Annals of Mathematics · 1995 · 196 citations

, , +13

1–5 of 111

Authors

93

  1. YO
    Yong‐Geun Oh

    University of Wisconsin–Madison, United States

    12 publications · 566 citations

    11

    h-index

  2. KF
    Kenji Fukaya

    Kyoto University, Japan

    7 publications · 265 citations

    7

    h-index

  3. HO
    Hiroshi Ohta

    Osaka Prefecture University, Japan

    6 publications · 120 citations

    6

    h-index

  4. KO
    Kaoru Ono

    Sapporo Medical University, Japan

    6 publications · 120 citations

    6

    h-index

  5. HH
    Helmut Hofer

    ETH Zurich, Switzerland

    5 publications · 720 citations

    5

    h-index

1–5 of 93

Institutions

61

  1. ETH Zurich

    Zurich, Switzerland

    6 h-index

    6 publications

    765 citations

  2. University of Wisconsin–Madison

    Madison, United States

    5 h-index

    5 publications

    207 citations

  3. Stanford University

    Stanford, United States

    3 h-index

    3 publications

    110 citations

  4. Kyoto University

    Kyoto, Japan

    3 h-index

    3 publications

    81 citations

  5. Princeton University

    Princeton, United States

    3 h-index

    3 publications

    152 citations

  6. University of Cambridge

    Cambridge, United Kingdom

    3 h-index

    3 publications

    134 citations

  7. Nagoya University

    Nagoya, Japan

    2 h-index

    2 publications

    28 citations

  8. Uppsala University

    Uppsala, Sweden

    2 h-index

    2 publications

    50 citations

1–8 of 61

Venues

  1. ArXiv.org

    Repository · 9 publications · 345 citations

    9

    h-index

  2. Geometry & Topology

    9 publications · 331 citations

    9

    h-index

  3. arXiv (Cornell University)

    Repository · 8 publications · 213 citations

    8

    h-index

  4. Journal of Symplectic Geometry

    JSG · 7 publications · 209 citations

    7

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 5 publications · 273 citations

    5

    h-index

1–5