Concepedia

Slice Knots

A Slice Knot is a knot in the 3-sphere that bounds a smoothly embedded disk in the 4-ball, distinguishing it from general knots by its sliceness property in four-dimensional topology.

118

Publications

4.8K

Citations

96

Authors

79

Institutions

Publications per year

2017–2026

16

Parents

Publications

118

Khovanov homology and the slice genus

Jacob Rasmussen · Inventiones mathematicae · 2010 · 512 citations

, , +14

Knot Floer homology and the four-ball genus

Peter Ozsváth, Zoltán Szabó · Geometry & Topology · 2003 · 491 citations · Full text

, , +16

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

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

, , +16

Lens spaces, rational balls and the ribbon conjecture

Paolo Lisca · Geometry & Topology · 2007 · 124 citations · Full text

, , +12

The knot Floer complex and the smooth concordance group

Jennifer Hom · Commentarii Mathematici Helvetici · 2014 · 113 citations · Full text

, , +5

1–5 of 118

Authors

96

  1. CL
    Charles Livingston

    Indiana University Bloomington, United States

    11 publications · 251 citations

    11

    h-index

  2. TD
    Tim D. Cochran

    Rice University, United States

    10 publications · 382 citations

    10

    h-index

  3. JC
    Jae Choon

    Pohang University of Science and Technology, South Korea

    6 publications · 182 citations

    6

    h-index

  4. BO
    Brendan Owens

    University of Glasgow, United Kingdom

    5 publications · 156 citations

    5

    h-index

  5. SH
    Shelly Harvey

    Rice University, United States

    5 publications · 266 citations

    5

    h-index

1–5 of 96

Institutions

79

  1. Rice University

    Houston, United States

    13 h-index

    25 publications

    1.1K citations

  2. Indiana University Bloomington

    Bloomington, United States

    12 h-index

    13 publications

    613 citations

  3. Princeton University

    Princeton, United States

    8 h-index

    9 publications

    1.2K citations

  4. Columbia University

    New York, United States

    7 h-index

    7 publications

    770 citations

  5. Louisiana State University

    Baton Rouge, United States

    7 h-index

    7 publications

    294 citations

  6. The University of Texas at Austin

    Austin, United States

    6 h-index

    6 publications

    269 citations

  7. Wesleyan University

    Middletown, United States

    6 h-index

    6 publications

    202 citations

  8. Pohang University of Science and Technology

    Pohang, South Korea

    5 h-index

    5 publications

    162 citations

1–8 of 79

Venues

  1. Geometry & Topology

    13 publications · 1K citations

    12

    h-index

  2. Algebraic & Geometric Topology

    AGT · 10 publications · 183 citations

    10

    h-index

  3. 9

    h-index

  4. Transactions of the American Mathematical Society

    TRAN · 7 publications · 217 citations

    7

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 6 publications · 152 citations

    6

    h-index

1–5