Concepedia

Symplectic Capacities

Symplectic Capacities is a numerical invariant in symplectic geometry that assigns to each symplectic manifold a non-negative real number, distinguishing symplectic structures by their capacity to embed or exclude certain standard symplectic balls under symplectomorphisms.

48

Publications

1.7K

Citations

40

Authors

45

Institutions

Publications per year

2017–2026

9

Variants

Symplectic Capacity

Parents

Publications

48

The Geometry of Symplectic Energy

François Lalonde, Dusa McDuff · Annals of Mathematics · 1995 · 247 citations

, , +10

Metric and isoperimetric problems in symplectic geometry

Claude Viterbo · Journal of the American Mathematical Society · 2000 · 101 citations · Full text

, , +11

Propagation in Hamiltonian dynamics and relative symplectic homology

Paul Biran, Leonid Polterovich, Dietmar Salamon · Duke Mathematical Journal · 2003 · 98 citations

, , +15

Symplectic capacities and the geometry of uncertainty: The irruption of symplectic topology in classical and quantum mechanics

Maurice A. de Gosson, Franz Luef · Physics Reports · 2009 · 96 citations

, , +15

From symplectic measurements to the Mahler conjecture

Shiri Artstein-Avidan, Yaron Ostrover · Duke Mathematical Journal · 2014 · 81 citations · Full text

, , +14

1–5 of 48

Authors

40

  1. SA
    Shiri Artstein-Avidan

    Tel Aviv University, Israel

    3 publications · 139 citations

    3

    h-index

  2. GL
    Guangcun Lu

    Beijing Normal University, China

    3 publications · 92 citations

    3

    h-index

  3. MH
    Michael Hutchings

    University of California, Berkeley, United States

    3 publications · 123 citations

    3

    h-index

  4. YO
    Yaron Ostrover

    Tel Aviv University, Israel

    3 publications · 139 citations

    3

    h-index

  5. YE
    Yakov Eliashberg

    Stanford University, United States

    2 publications · 66 citations

    2

    h-index

1–5 of 40

Institutions

45

  1. University of California, Berkeley

    Berkeley, United States

    5 h-index

    5 publications

    268 citations

  2. Beijing Normal University

    Beijing, China

    4 h-index

    4 publications

    105 citations

  3. University of Cologne

    Cologne, Germany

    3 h-index

    3 publications

    42 citations

  4. University of Georgia

    Athens, United States

    3 h-index

    3 publications

    86 citations

  5. Ruhr University Bochum

    Bochum, Germany

    2 h-index

    1 publications

    23 citations

  6. University of California, Santa Cruz

    Santa Cruz, United States

    2 h-index

    3 publications

    41 citations

  7. Tel Aviv University

    Tel Aviv, Israel

    2 h-index

    4 publications

    136 citations

  8. University of Neuchâtel

    Neuchâtel, Switzerland

    2 h-index

    2 publications

    66 citations

1–8 of 45

Venues

  1. Geometry & Topology

    4 publications · 87 citations

    4

    h-index

  2. Algebraic & Geometric Topology

    AGT · 2 publications · 28 citations

    3

    h-index

  3. Journal of the American Mathematical Society

    JAMS · 3 publications · 167 citations

    3

    h-index

  4. Duke Mathematical Journal

    DMJ · 2 publications · 179 citations

    3

    h-index

  5. arXiv (Cornell University)

    Repository · 2 publications · 35 citations

    2

    h-index

1–5