Concepedia

Casson Invariant

The Casson Invariant is an integer-valued topological invariant of oriented integral homology 3-spheres, distinguished as a count of irreducible SU(2) representation classes of the fundamental group, modulo certain equivalences, that extends classical invariants in low-dimensional topology by incorporating gauge-theoretic methods.

100

Publications

4.2K

Citations

91

Authors

75

Institutions

Publications per year

2017–2026

1

Parents

Publications

100

A holomorphic Casson invariant for Calabi-Yau 3-folds, and bundles on $K3$ fibrations

Richard Thomas · Journal of Differential Geometry · 2000 · 378 citations · Full text

, , +15

Knot concordance, Whitney towers and L<sup>2</sup>-signatures

Kent E. Orr, Peter Teichner · Annals of Mathematics · 2003 · 294 citations · Full text

, , +16

TWISTED ALEXANDER INVARIANTS, REIDEMEISTER TORSION, AND CASSON–GORDON INVARIANTS

Paul Kirk, Charles Livingston · Topology · 1999 · 225 citations

, , +15

Structure in the classical knot concordance group

Tim D. Cochran, Kent E. Orr, Peter Teichner · Commentarii Mathematici Helvetici · 2004 · 184 citations · Full text

, , +12

Casson's invariant for homology 3-spheres and characteristic classes of surface bundles I

Shigeyuki Morita · Topology · 1989 · 123 citations

, , +14

1–5 of 100

Authors

91

  1. DR
    Daniel Ruberman

    Brandeis University, United States

    5 publications · 126 citations

    5

    h-index

  2. SM
    Shigeyuki Morita

    Tokyo Institute of Technology, Japan

    5 publications · 290 citations

    5

    h-index

  3. NS
    Nikolai Saveliev

    University of Miami, United States

    4 publications · 57 citations

    4

    h-index

  4. GT
    G.E. Thompson

    University of Manchester, United Kingdom

    4 publications · 115 citations

    4

    h-index

  5. TD
    Tim D. Cochran

    Rice University, United States

    4 publications · 341 citations

    4

    h-index

1–5 of 91

Institutions

75

  1. Indiana University Bloomington

    Bloomington, United States

    8 h-index

    11 publications

    1.2K citations

  2. Rice University

    Houston, United States

    7 h-index

    9 publications

    714 citations

  3. Brandeis University

    Waltham, United States

    5 h-index

    6 publications

    78 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    128 citations

  5. University of Miami

    Coral Gables, United States

    4 h-index

    5 publications

    69 citations

  6. Tokyo Institute of Technology

    Tokyo, Japan

    4 h-index

    4 publications

    259 citations

  7. University of California, Santa Barbara

    Santa Barbara, United States

    3 h-index

    3 publications

    135 citations

  8. New York University

    New York, United States

    3 h-index

    5 publications

    96 citations

1–8 of 75

Venues

  1. Journal of Knot Theory and Its Ramifications

    10 publications · 240 citations

    10

    h-index

  2. 8

    h-index

  3. Journal of Differential Geometry

    7 publications · 625 citations

    7

    h-index

  4. Topology

    7 publications · 621 citations

    7

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 6 publications · 202 citations

    6

    h-index

1–5