Concepedia

Gromov Compactness

Gromov Compactness is a foundational theorem in symplectic geometry that establishes the precompactness of sequences of pseudoholomorphic curves with uniformly bounded energy, ensuring convergence modulo bubbling to a stable map in the Gromov–Hausdorff sense.

65

Publications

2.9K

Citations

91

Authors

65

Institutions

Publications per year

2017–2026

13

Parents

Publications

65

Compactness results in Symplectic Field Theory

Frédéric Bourgeois, Yakov Eliashberg, Helmut Hofer et al. · Geometry & Topology · 2003 · 421 citations · Full text

, , +14

The boundary of negatively curved groups

Mladen Bestvina, Geoffrey Mess · Journal of the American Mathematical Society · 1991 · 263 citations · Full text

, , +12

Compact hyperk�hler manifolds: basic results

Daniel Huybrechts · Inventiones mathematicae · 2003 · 201 citations · Full text

, , +10

Gromov’s compactness theorem for pseudo holomorphic curves

Rugang Ye · Transactions of the American Mathematical Society · 1994 · 126 citations · Full text

, , +7

Gromov-Hausdorff distance for quantum metric spaces

Marc A. Rieffel · Memoirs of the American Mathematical Society · 2004 · 125 citations

, , +12

1–5 of 65

Authors

91

  1. YO
    Yuji Odaka

    Kyoto University, Japan

    3 publications · 79 citations

    3

    h-index

  2. MP
    Marc Peigné

    Université de Tours, France

    2 publications · 24 citations

    2

    h-index

  3. KK
    Kazuhiro Kuwae

    Kumamoto University, Japan

    2 publications · 39 citations

    2

    h-index

  4. MA
    Marc A. Rieffel

    University of California, Berkeley, United States

    2 publications · 141 citations

    2

    h-index

  5. CS
    Christina Sormani

    Lehman College, United States

    2 publications · 70 citations

    2

    h-index

1–5 of 91

Institutions

65

  1. Stanford University

    Stanford, United States

    5 h-index

    5 publications

    541 citations

  2. Tohoku University

    Sendai, Japan

    4 h-index

    4 publications

    121 citations

  3. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    2 h-index

    2 publications

    214 citations

  4. Tulane University

    New Orleans, United States

    2 h-index

    3 publications

    93 citations

  5. Courant Institute of Mathematical Sciences

    New York, United States

    2 h-index

    2 publications

    433 citations

  6. Université Paris Cité

    Paris, France

    2 h-index

    2 publications

    214 citations

  7. Kumamoto University

    Kumamoto, Japan

    2 h-index

    2 publications

    39 citations

  8. Zhejiang University

    Hangzhou, China

    1 h-index

    2 publications

    42 citations

1–8 of 65

Venues

  1. arXiv (Cornell University)

    Repository · 4 publications · 71 citations

    4

    h-index

  2. Topology and its Applications

    3 publications · 49 citations

    3

    h-index

  3. Geometry & Topology

    3 publications · 459 citations

    3

    h-index

  4. ArXiv.org

    Repository · 3 publications · 57 citations

    3

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 3 publications · 201 citations

    3

    h-index

1–5