Concepedia

Real Vector Bundles

A Real Vector Bundle is a fiber bundle whose fibers are real vector spaces and whose structure group consists of invertible linear transformations of a real vector space, thereby distinguishing it from other fiber bundles by the linear and real-algebraic nature of its local trivializations.

82

Publications

3K

Citations

117

Authors

91

Institutions

Publications per year

2017–2026

3

Parents

Publications

82

The structure of supermanifolds

Marjorie Batchelor · Transactions of the American Mathematical Society · 1979 · 199 citations · Full text

, , +13

The moduli spaces of vector bundles over an algebraic curve

S. Ramanan · Mathematische Annalen · 1973 · 184 citations

, , +13

The decomposition and specialization of algebraic families of vector bundles

Stephen S. Shatz · French digital mathematics library (Numdam) · 1977 · 158 citations

, , +11

Positive Polynomials for Ample Vector Bundles

William Fulton, Robert Lazarsfeld · Annals of Mathematics · 1983 · 120 citations

, , +10

Classification of vector bundles of rank 2 on hyperelliptic curves

Usha V. Desale, S. Ramanan · Inventiones mathematicae · 1976 · 109 citations

, , +13

1–5 of 82

Authors

117

  1. JB
    Jacek Bochnak

    Vrije Universiteit Amsterdam, Netherlands

    4 publications · 90 citations

    4

    h-index

  2. WK
    Wojciech Kucharz

    University of New Mexico, United States

    4 publications · 90 citations

    4

    h-index

  3. MK
    Max Karoubi

    Université Paris Cité, France

    3 publications · 57 citations

    3

    h-index

  4. AB
    Aaron Bertram

    University of Utah, United States

    2 publications · 152 citations

    2

    h-index

  5. LC
    Laura Costa

    Universitat de Barcelona, Spain

    2 publications · 73 citations

    2

    h-index

1–5 of 117

Institutions

91

  1. Tata Institute of Fundamental Research

    Mumbai, India

    6 h-index

    8 publications

    570 citations

  2. Université Paris Cité

    Paris, France

    4 h-index

    4 publications

    111 citations

  3. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    3 h-index

    3 publications

    57 citations

  4. University of California, Berkeley

    Berkeley, United States

    3 h-index

    3 publications

    131 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    3 publications

    307 citations

  6. University of New Mexico

    Albuquerque, United States

    2 h-index

    3 publications

    45 citations

  7. Vrije Universiteit Amsterdam

    Amsterdam, The Netherlands

    2 h-index

    3 publications

    45 citations

  8. Institute for Advanced Study

    Princeton, United States

    2 h-index

    2 publications

    58 citations

1–8 of 91

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 5 publications · 301 citations

    5

    h-index

  2. Inventiones mathematicae

    5 publications · 249 citations

    5

    h-index

  3. Mathematische Annalen

    4 publications · 334 citations

    4

    h-index

  4. Journal of Algebra

    4 publications · 100 citations

    4

    h-index

  5. The Quarterly Journal of Mathematics

    4 publications · 103 citations

    4

    h-index

1–5