Concepedia

J-holomorphic Curves

J-Holomorphic Curves is a mathematical construct in symplectic geometry defined as a smooth map from a Riemann surface into a symplectic manifold equipped with an almost complex structure \( J \) that satisfies the Cauchy-Riemann-type equation \( du + J \circ du \circ j = 0 \), where \( j \) is the complex structure on the domain, distinguishing it as a pseudoholomorphic representative of a homology class.

57

Publications

3K

Citations

64

Authors

48

Institutions

Publications per year

2017–2026

3

Variants

Pseudoholomorphic Curves

Parents

Publications

57

Is there a J-curve?

Andrew K. Rose, Janet L. Yellen · Journal of Monetary Economics · 1989 · 628 citations

, , +3

INTRODUCTION TO SYMPLECTIC TOPOLOGY (Oxford Mathematical Monographs)

C. B. Thomas · Bulletin of the London Mathematical Society · 1997 · 320 citations

, , +16

The symplectic sum formula for Gromov–Witten invariants

Eleny-Nicoleta Ionel, Thomas H. Parker · Annals of Mathematics · 2004 · 194 citations · Full text

, , +15

Automatic transversality and orbifolds of punctured holomorphic curves in dimension four

Chris Wendl · Commentarii Mathematici Helvetici · 2010 · 143 citations · Full text

, , +16

A defect relation for holomorphic curves intersecting hypersurfaces

Min Ru · American Journal of Mathematics · 2004 · 112 citations

, , +10

1–5 of 57

Authors

64

  1. DJ
    Dominic Joyce

    Lincoln College, United States

    3 publications · 119 citations

    3

    h-index

  2. DM
    Dusa McDuff

    Stony Brook University, United States

    3 publications · 71 citations

    3

    h-index

  3. AS
    Alexandre Sukhov

    Karlstad University, Sweden

    3 publications · 48 citations

    3

    h-index

  4. CW
    Chris Wendl

    Humboldt-Universität zu Berlin, Germany

    2 publications · 176 citations

    2

    h-index

  5. KC
    Kai Cieliebak

    University of Augsburg, Germany

    2 publications · 133 citations

    2

    h-index

1–5 of 64

Institutions

48

  1. Stony Brook University

    Stony Brook, United States

    4 h-index

    4 publications

    95 citations

  2. ETH Zurich

    Zurich, Switzerland

    4 h-index

    4 publications

    86 citations

  3. University of Wisconsin–Madison

    Madison, United States

    3 h-index

    3 publications

    224 citations

  4. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    690 citations

  5. Humboldt-Universität zu Berlin

    Berlin, Germany

    2 h-index

    2 publications

    211 citations

  6. Columbia University

    New York, United States

    2 h-index

    2 publications

    98 citations

  7. Unité de Mathématiques Pures et Appliquées

    Lyon, France

    2 h-index

    2 publications

    41 citations

  8. University of Minnesota

    Minneapolis, United States

    2 h-index

    2 publications

    30 citations

1–8 of 48

Venues

  1. ArXiv.org

    Repository · 5 publications · 183 citations

    5

    h-index

  2. arXiv (Cornell University)

    Repository · 4 publications · 115 citations

    4

    h-index

  3. Annals of Mathematics

    3 publications · 270 citations

    3

    h-index

  4. Duke Mathematical Journal

    DMJ · 3 publications · 117 citations

    3

    h-index

  5. Geometry & Topology

    3 publications · 100 citations

    3

    h-index

1–5