Concepedia

Complex Vector Bundles

A Complex Vector Bundle is a fiber bundle in which the fiber is a complex vector space and the structure group consists of invertible complex linear transformations, distinguishing it from real vector bundles by the complex-linear nature of its transition functions.

958

Publications

48.3K

Citations

998

Authors

448

Institutions

Publications per year

2017–2026

72

Parents

Publications

958

Completely positive linear maps on complex matrices

Man-Duen Choi · Linear Algebra and its Applications · 1975 · 2.7K citations

, , +7

Real algebraic geometry

Choice Reviews Online · 2014 · 1.3K citations

, , +12

Anti Self-Dual Yang-Mills Connections Over Complex Algebraic Surfaces and Stable Vector Bundles

Simon Donaldson · Proceedings of the London Mathematical Society · 1985 · 1.1K citations

, , +15

On the existence of hermitian-yang-mills connections in stable vector bundles

Karen Uhlenbeck, Shing–Tung Yau · Communications on Pure and Applied Mathematics · 1986 · 948 citations

, , +14

Vector Bundles Over an Elliptic Curve

Michael Atiyah · Proceedings of the London Mathematical Society · 1957 · 942 citations

, , +9

1–5 of 958

Authors

998

  1. IB
    Indranil Biswas

    Tata Institute of Fundamental Research, India

    10 publications · 206 citations

    10

    h-index

  2. SK
    Shôshichi Kobayashi

    University of California System, United States

    8 publications · 465 citations

    8

    h-index

  3. MT
    Montserrat Teixidor i Bigas

    Tufts University, United States

    8 publications · 238 citations

    8

    h-index

  4. EB
    Edoardo Ballico

    University of Trento, Italy

    8 publications · 152 citations

    8

    h-index

  5. JB
    Jean‐Michel Bismut

    Université Paris-Sud, France

    7 publications · 537 citations

    7

    h-index

1–5 of 998

Institutions

448

  1. Tata Institute of Fundamental Research

    Mumbai, India

    17 h-index

    30 publications

    2.8K citations

  2. University of California, Berkeley

    Berkeley, United States

    16 h-index

    21 publications

    3.8K citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    18 publications

    532 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    11 h-index

    12 publications

    960 citations

  5. Harvard University

    Cambridge, United States

    11 h-index

    11 publications

    779 citations

  6. University of Florence

    Florence, Italy

    10 h-index

    12 publications

    546 citations

  7. University of Oxford

    Oxford, United Kingdom

    10 h-index

    15 publications

    746 citations

  8. University of Liverpool

    Liverpool, United Kingdom

    10 h-index

    13 publications

    778 citations

1–8 of 448

Venues

  1. ArXiv.org

    Repository · 46 publications · 1.7K citations

    24

    h-index

  2. Mathematische Annalen

    32 publications · 2.9K citations

    24

    h-index

  3. Inventiones mathematicae

    30 publications · 1.5K citations

    21

    h-index

  4. Duke Mathematical Journal

    DMJ · 24 publications · 957 citations

    19

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 40 publications · 2.1K citations

    18

    h-index

1–5