Concepedia

Handle Decompositions

Handle Decomposition is a decomposition of a smooth manifold into a union of handles, each attached via specific embedding maps, that provides a combinatorial framework for studying the manifold's topology by successively building it from elementary pieces modeled on critical points of Morse functions.

43

Publications

1.8K

Citations

57

Authors

44

Institutions

Publications per year

2017–2026

3

Variants

Handle Decomposition

Parents

Publications

43

Handlebody Construction of Stein Surfaces

Robert E. Gompf · Annals of Mathematics · 1998 · 432 citations

, , +15

Braided surfaces and seifert ribbons for closed braids

Lee Rudolph · Commentarii Mathematici Helvetici · 1983 · 163 citations

, , +16

On the handlebody decomposition associated to a Lefschetz fibration

Arnold Kas · Pacific Journal of Mathematics · 1980 · 150 citations · Full text

, , +3

Singular Lefschetz pencils

Denis Auroux, Simon Donaldson, Ludmil Katzarkov · Geometry & Topology · 2005 · 103 citations · Full text

, , +12

Handlebody decompositions of complex surfaces

John Harer, Arnold Kas, Robion Kirby · Memoirs of the American Mathematical Society · 1986 · 78 citations

, , +10

1–5 of 43

Authors

57

  1. RE
    Robert E. Gompf

    The University of Texas at Austin, United States

    3 publications · 501 citations

    3

    h-index

  2. MR
    María Rita Casali

    University of Modena and Reggio Emilia, Italy

    2 publications · 24 citations

    2

    h-index

  3. AK
    Arnold Kas

    University of Washington, United States

    2 publications · 228 citations

    2

    h-index

  4. CG
    Carlo Gagliardi

    University of Modena and Reggio Emilia, Italy

    2 publications · 28 citations

    2

    h-index

  5. SA
    Selman Akbulut

    Michigan State University, United States

    2 publications · 33 citations

    2

    h-index

1–5 of 57

Institutions

44

  1. University of California, Berkeley

    Berkeley, United States

    2 h-index

    2 publications

    86 citations

  2. Michigan State University

    East Lansing, United States

    2 h-index

    2 publications

    44 citations

  3. The University of Tokyo

    Tokyo, Japan

    2 h-index

    2 publications

    64 citations

  4. University of Kentucky

    Lexington, United States

    1 h-index

    1 publications

    15 citations

  5. Osaka Institute of Technology

    Osaka, Japan

    1 h-index

    1 publications

    15 citations

  6. University of Vienna

    Vienna, Austria

    1 h-index

    1 publications

    18 citations

  7. University of Tsukuba

    Tsukuba, Japan

    1 h-index

    1 publications

    15 citations

  8. The University of Osaka

    Osaka, Japan

    1 h-index

    1 publications

    15 citations

1–8 of 44

Venues

  1. Pacific Journal of Mathematics

    5 publications · 240 citations

    5

    h-index

  2. Commentarii Mathematici Helvetici

    CMH · 3 publications · 214 citations

    3

    h-index

  3. Geometry & Topology

    3 publications · 157 citations

    3

    h-index

  4. Algebraic & Geometric Topology

    AGT · 2 publications · 26 citations

    2

    h-index

  5. Annals of Mathematics

    2 publications · 479 citations

    2

    h-index

1–5