Concepedia

Holonomy Theory

Holonomy Theory is a mathematical framework within differential geometry that characterizes the global structural properties of a Riemannian manifold by analyzing the group of linear transformations induced by parallel transport around closed loops in the tangent bundle.

1.4K

Publications

69.7K

Citations

1.6K

Authors

762

Institutions

Publications per year

2017–2026

158

Parents

Publications

1.4K

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Barry Simon · Physical Review Letters · 1983 · 1.9K citations

, , +9

Lectures on Classical Differential Geometry.

Claude Springer, D. J. Struik · American Mathematical Monthly · 1952 · 1.4K citations

, , +11

Evidence for F-theory

CERN Document Server (European Organization for Nuclear Research) · 1996 · 1.1K citations

, , +15

Curvature and Betti Numbers

S. Bochner · Annals of Mathematics · 1948 · 679 citations

, , +15

On a deformation of Riemannian structures on compact manifolds

Hidehiko Yamabe · Institutional Repositories DataBase (IRDB) · 1960 · 650 citations · Full text

, , +11

1–5 of 1.4K

Authors

1.6K

  1. MK
    Masaki Kashiwara

    Kyoto University, Japan

    13 publications · 1.5K citations

    13

    h-index

  2. WM
    William M. Goldman

    University of Maryland, College Park, United States

    16 publications · 620 citations

    12

    h-index

  3. SG
    Sergei Gukov

    California Institute of Technology, United States

    10 publications · 710 citations

    10

    h-index

  4. DJ
    Dominic Joyce

    Lincoln College, United States

    9 publications · 909 citations

    9

    h-index

  5. JG
    Julien Grain

    Centre National de la Recherche Scientifique, France

    8 publications · 495 citations

    8

    h-index

1–5 of 1.6K

Institutions

762

  1. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    81 publications

    3.5K citations

  2. Humboldt-Universität zu Berlin

    Berlin, Germany

    20 h-index

    40 publications

    1.4K citations

  3. University of Cambridge

    Cambridge, United Kingdom

    20 h-index

    40 publications

    1.4K citations

  4. Pennsylvania State University

    State College, United States

    17 h-index

    34 publications

    2.4K citations

  5. Kyoto University

    Kyoto, Japan

    17 h-index

    38 publications

    3.4K citations

  6. Harvard University

    Cambridge, United States

    16 h-index

    32 publications

    2.5K citations

  7. University of California, Berkeley

    Berkeley, United States

    15 h-index

    27 publications

    2K citations

  8. Institute for Advanced Study

    Princeton, United States

    14 h-index

    20 publications

    2.2K citations

1–8 of 762

Venues

  1. Classical and Quantum Gravity

    68 publications · 3K citations

    30

    h-index

  2. Journal of High Energy Physics

    JHEP · 63 publications · 2.8K citations

    28

    h-index

  3. ArXiv.org

    Repository · 54 publications · 2.1K citations

    26

    h-index

  4. Communications in Mathematical Physics

    40 publications · 2.9K citations

    26

    h-index

  5. Journal of Mathematical Physics

    43 publications · 1.9K citations

    25

    h-index

1–5