Concepedia

Lagrangian Intersection Theory

Lagrangian Intersection Theory is a branch of symplectic geometry that studies the intersection properties of Lagrangian submanifolds within symplectic manifolds, employing tools from topology and analysis to characterize their intersection numbers, Maslov indices, and Floer homology in order to address rigidity phenomena and existence questions in symplectic topology.

59

Publications

3.3K

Citations

72

Authors

58

Institutions

Publications per year

2017–2026

3

Parents

Publications

59

Morse theory for Lagrangian intersections

Andreas Floer · Journal of Differential Geometry · 1988 · 739 citations · Full text

, , +13

Floer cohomology of lagrangian intersections and pseudo‐holomorphic disks I

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

, , +12

On the Floer homology of cotangent bundles

Alberto Abbondandolo, Matthias Schwarz · Communications on Pure and Applied Mathematics · 2005 · 229 citations

, , +16

Lagrangian Intersection and the Cauchy Problem

Richard Melrose, Günther Uhlmann · Communications on Pure and Applied Mathematics · 1979 · 202 citations

, , +11

First steps in symplectic topology

Vladimir I. Arnold · Russian Mathematical Surveys · 1986 · 166 citations

, , +15

1–5 of 59

Authors

72

  1. YO
    Yong‐Geun Oh

    University of Wisconsin–Madison, United States

    6 publications · 432 citations

    6

    h-index

  2. LP
    Leonid Polterovich

    Tel Aviv University, Israel

    3 publications · 90 citations

    3

    h-index

  3. KO
    Kaoru Ono

    Sapporo Medical University, Japan

    3 publications · 87 citations

    3

    h-index

  4. VI
    Vladimir I. Arnold

    Steklov Mathematical Institute, Russia

    2 publications · 199 citations

    2

    h-index

  5. OC
    Octav Cornea

    Université de Montréal, Canada

    2 publications · 84 citations

    2

    h-index

1–5 of 72

Institutions

58

  1. Massachusetts Institute of Technology

    Cambridge, United States

    4 h-index

    5 publications

    493 citations

  2. Boston University

    Boston, United States

    2 h-index

    2 publications

    47 citations

  3. Rutgers, The State University of New Jersey

    New Brunswick, United States

    2 h-index

    2 publications

    119 citations

  4. University of Cambridge

    Cambridge, United Kingdom

    2 h-index

    2 publications

    50 citations

  5. Stanford University

    Stanford, United States

    2 h-index

    2 publications

    50 citations

  6. Courant Institute of Mathematical Sciences

    New York, United States

    2 h-index

    2 publications

    114 citations

  7. Universidade Federal do Rio de Janeiro

    Rio de Janeiro, Brazil

    1 h-index

    1 publications

    28 citations

  8. Simons Center for Geometry and Physics

    Stony Brook, United States

    1 h-index

    1 publications

    51 citations

1–8 of 58

Venues

  1. Communications on Pure and Applied Mathematics

    7 publications · 900 citations

    7

    h-index

  2. arXiv (Cornell University)

    Repository · 7 publications · 101 citations

    7

    h-index

  3. ArXiv.org

    Repository · 5 publications · 176 citations

    5

    h-index

  4. Duke Mathematical Journal

    DMJ · 4 publications · 247 citations

    4

    h-index

  5. Memoirs of the American Mathematical Society

    2 publications · 99 citations

    2

    h-index

1–5