Concepedia

Pontryagin Classes

Pontryagin Classes is a characteristic class in differential topology that assigns to each real vector bundle a sequence of cohomology classes in even degrees, derived from the curvature of a connection and distinguished by their invariance under orientation-preserving bundle isomorphisms.

105

Publications

4.8K

Citations

149

Authors

113

Institutions

Publications per year

2017–2026

10

Variants

Pontrjagin Classes

Parents

Publications

105

Topology from the Differentiable Viewpoint.

Edgar H. Brown, John Milnor · American Mathematical Monthly · 1967 · 1.5K citations

, , +14

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>*</mml:mo> </mml:msup> </mml:math> -algebras, positive scalar curvature, and the Novikov conjecture

Jonathan Rosenberg · Publications mathématiques de l IHÉS · 1983 · 276 citations

, , +13

Topological invariants, instantons, and the chiral anomaly on spaces with torsion

Osvaldo Chandı́a, Jorge Zanelli · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · 1997 · 190 citations · Full text

, , +16

Lovelock-Cartan theory of gravity

Adelqui Sanhueza Mardones, Jorge Zanelli · Classical and Quantum Gravity · 1991 · 134 citations

, , +17

Quantum E(2) group and its Pontryagin dual

S. L. Woronowicz · Letters in Mathematical Physics · 1991 · 124 citations

, , +9

1–5 of 105

Authors

149

  1. CT
    C. T. C. Wall

    University of Liverpool, United Kingdom

    5 publications · 252 citations

    5

    h-index

  2. HW
    Harald Woracek

    TU Wien, Austria

    5 publications · 161 citations

    5

    h-index

  3. AD
    Aad Dijksma

    University of Groningen, Netherlands

    3 publications · 48 citations

    3

    h-index

  4. MW
    Michael Weiss

    CDG Therapeutics (United States), United States

    3 publications · 47 citations

    3

    h-index

  5. YG
    Yu. G. Shondin

    University of Groningen, Netherlands

    2 publications · 56 citations

    2

    h-index

1–5 of 149

Institutions

113

  1. TU Wien

    Vienna, Austria

    7 h-index

    11 publications

    365 citations

  2. Stony Brook University

    Stony Brook, United States

    4 h-index

    5 publications

    254 citations

  3. Institute for Advanced Study

    Princeton, United States

    3 h-index

    3 publications

    79 citations

  4. University of Chile

    Santiago, Chile

    3 h-index

    4 publications

    471 citations

  5. Yale University

    New Haven, United States

    2 h-index

    3 publications

    68 citations

  6. Ben-Gurion University of the Negev

    Beersheba, Israel

    2 h-index

    3 publications

    80 citations

  7. Indian Institute of Science Bangalore

    Bengaluru, India

    2 h-index

    3 publications

    90 citations

  8. American Mathematical Society

    Providence, United States

    2 h-index

    2 publications

    34 citations

1–8 of 113

Venues

  1. Topology

    8 publications · 403 citations

    8

    h-index

  2. arXiv (Cornell University)

    Repository · 6 publications · 84 citations

    6

    h-index

  3. Journal of High Energy Physics

    JHEP · 5 publications · 124 citations

    5

    h-index

  4. Integral Equations and Operator Theory

    4 publications · 171 citations

    4

    h-index

  5. Journal of Functional Analysis

    4 publications · 73 citations

    4

    h-index

1–5