Concepedia

Symplectic Spaces

Symplectic Spaces is an incidence geometry structure consisting of a vector space over a field equipped with a non-degenerate, alternating bilinear form that distinguishes it from other geometric spaces by its symplectic orthogonality and hyperbolic decomposition properties.

1.6K

Publications

78.5K

Citations

1.6K

Authors

725

Institutions

Publications per year

2017–2026

152

Variants

Symplectic Vector Spaces

Parents

Publications

1.6K

Pseudo holomorphic curves in symplectic manifolds

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

, , +10

Symplectic structures, their Bäcklund transformations and hereditary symmetries

Benno Fuchssteiner, A. S. Fokas · Physica D Nonlinear Phenomena · 1981 · 1.9K citations

, , +16

Deformation theory and quantization. I. Deformations of symplectic structures

F. Bayen, M. Flato, C. Frønsdal et al. · Annals of Physics · 1978 · 1.5K citations

, , +16

A simple geometrical construction of deformation quantization

Boris Fedosov · Journal of Differential Geometry · 1994 · 791 citations · Full text

, , +14

On the variation in the cohomology of the symplectic form of the reduced phase space

J. J. Duistermaat, Gerrit Heckman · Inventiones mathematicae · 1982 · 789 citations · Full text

, , +14

1–5 of 1.6K

Authors

1.6K

  1. DM
    Dusa McDuff

    Stony Brook University, United States

    19 publications · 1.2K citations

    16

    h-index

  2. YO
    Yong‐Geun Oh

    University of Wisconsin–Madison, United States

    15 publications · 462 citations

    12

    h-index

  3. LP
    Leonid Polterovich

    Tel Aviv University, Israel

    12 publications · 873 citations

    12

    h-index

  4. KO
    Kaoru Ono

    Sapporo Medical University, Japan

    13 publications · 300 citations

    11

    h-index

  5. VG
    Victor Guillemin

    Massachusetts Institute of Technology, United States

    11 publications · 701 citations

    11

    h-index

1–5 of 1.6K

Institutions

725

  1. Massachusetts Institute of Technology

    Cambridge, United States

    24 h-index

    43 publications

    3.5K citations

  2. Tel Aviv University

    Tel Aviv, Israel

    21 h-index

    39 publications

    2.8K citations

  3. University of California, Berkeley

    Berkeley, United States

    19 h-index

    34 publications

    2.9K citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    19 h-index

    39 publications

    1.6K citations

  5. Princeton University

    Princeton, United States

    17 h-index

    32 publications

    2.3K citations

  6. Stanford University

    Stanford, United States

    16 h-index

    20 publications

    1.2K citations

  7. Kyoto University

    Kyoto, Japan

    15 h-index

    25 publications

    842 citations

  8. Michigan State University

    East Lansing, United States

    15 h-index

    22 publications

    976 citations

1–8 of 725

Venues

  1. Journal of Differential Geometry

    41 publications · 3.8K citations

    28

    h-index

  2. Inventiones mathematicae

    30 publications · 6.7K citations

    28

    h-index

  3. Journal of Mathematical Physics

    50 publications · 1.7K citations

    26

    h-index

  4. ArXiv.org

    Repository · 66 publications · 1.9K citations

    25

    h-index

  5. Communications in Mathematical Physics

    25 publications · 2.4K citations

    21

    h-index

1–5