Concepedia

Lefschetz Duality

Lefschetz Duality is a fundamental theorem in algebraic topology that establishes a canonical isomorphism between the cohomology groups of a compact, oriented manifold with boundary and the relative homology groups of the manifold with respect to its boundary, thereby generalizing Poincaré Duality to manifolds with boundary.

355

Publications

15.1K

Citations

418

Authors

284

Institutions

Publications per year

2017–2026

41

Parents

Publications

355

The Intermediate Jacobian of the Cubic Threefold

C. Herbert Clemens, Phillip Griffiths · Annals of Mathematics · 1972 · 804 citations

, , +16

Koszul cohomology and the geometry of projective varieties

Mark L. Green · Journal of Differential Geometry · 1984 · 592 citations · Full text

, , +14

A Lefschetz Fixed Point Formula for Elliptic Complexes: I

Michael Atiyah, R. Bott · Annals of Mathematics · 1967 · 485 citations

, , +11

A Lefschetz Fixed Point Formula for Elliptic Complexes: II. Applications

Michael Atiyah, R. Bott · Annals of Mathematics · 1968 · 416 citations

, , +11

Quadratic functions in geometry, topology, and M-theory

Michael J. Hopkins, I. M. Singer · Journal of Differential Geometry · 2005 · 354 citations · Full text

, , +14

1–5 of 355

Authors

418

  1. JM
    Juan Migliore

    University of Notre Dame, United States

    7 publications · 481 citations

    7

    h-index

  2. JH
    June Huh

    Institute for Advanced Study, United States

    5 publications · 119 citations

    5

    h-index

  3. UN
    Uwe Nagel

    University of Kentucky, United States

    5 publications · 386 citations

    5

    h-index

  4. HE
    Heath Emerson

    University of Victoria, Canada

    4 publications · 59 citations

    4

    h-index

  5. FZ
    Fabrizio Zanello

    Michigan Technological University, United States

    4 publications · 112 citations

    4

    h-index

1–5 of 418

Institutions

284

  1. Centre National de la Recherche Scientifique

    Paris, France

    11 h-index

    16 publications

    626 citations

  2. Kyoto University

    Kyoto, Japan

    8 h-index

    13 publications

    655 citations

  3. Imperial College London

    London, United Kingdom

    7 h-index

    10 publications

    655 citations

  4. University of California, Berkeley

    Berkeley, United States

    6 h-index

    5 publications

    337 citations

  5. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    6 h-index

    7 publications

    244 citations

  6. University of Notre Dame

    Notre Dame, United States

    5 h-index

    8 publications

    430 citations

  7. The University of Tokyo

    Tokyo, Japan

    5 h-index

    9 publications

    501 citations

  8. Harvard University

    Cambridge, United States

    5 h-index

    6 publications

    594 citations

1–8 of 284

Venues

  1. Annals of Mathematics

    14 publications · 2.5K citations

    14

    h-index

  2. Inventiones mathematicae

    14 publications · 653 citations

    14

    h-index

  3. arXiv (Cornell University)

    Repository · 22 publications · 508 citations

    13

    h-index

  4. Journal of Algebra

    12 publications · 508 citations

    12

    h-index

  5. Journal of Differential Geometry

    11 publications · 1.4K citations

    11

    h-index

1–5