Concepedia

Obstruction Theory

Obstruction Theory is a systematic framework in algebraic topology and homotopy theory that identifies and quantifies the cohomological barriers to extending continuous maps or constructing sections of fiber bundles over successive skeleta of a CW complex.

184

Publications

8.3K

Citations

224

Authors

158

Institutions

Publications per year

2017–2026

24

Parents

Publications

184

Localization of virtual classes

T.M. Graber, Rahul Pandharipande · Inventiones mathematicae · 1999 · 743 citations

, , +13

Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties

Jun Li, Gang Tian · Journal of the American Mathematical Society · 1998 · 617 citations · Full text

, , +15

Donaldson-Thomas type invariants via microlocal geometry

Kai Behrend · Annals of Mathematics · 2009 · 299 citations · Full text

, , +11

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

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

, , +16

Obstructions to the Smoothing of Piecewise-Differentiable Homeomorphisms

James R. Munkres · Annals of Mathematics · 1960 · 198 citations

, , +11

1–5 of 184

Authors

224

  1. PV
    Pavle V. M. Blagojević

    Freie Universität Berlin, Germany

    5 publications · 139 citations

    5

    h-index

  2. RT
    Richard Thomas

    Imperial College London, United Kingdom

    5 publications · 226 citations

    5

    h-index

  3. PT
    Peter Teichner

    University of California San Diego, United States

    5 publications · 434 citations

    5

    h-index

  4. BF
    Barbara Fantechi

    Scuola Internazionale Superiore di Studi Avanzati, Italy

    5 publications · 410 citations

    5

    h-index

  5. MM
    Marco Manetti

    Sapienza University of Rome, Italy

    5 publications · 217 citations

    5

    h-index

1–5 of 224

Institutions

158

  1. Scuola Internazionale Superiore di Studi Avanzati

    Trieste, Italy

    6 h-index

    7 publications

    363 citations

  2. Imperial College London

    London, United Kingdom

    6 h-index

    8 publications

    311 citations

  3. Stanford University

    Stanford, United States

    6 h-index

    6 publications

    835 citations

  4. Université Paris Cité

    Paris, France

    6 h-index

    6 publications

    193 citations

  5. Max Planck Institute for Mathematics

    Bonn, Germany

    5 h-index

    6 publications

    156 citations

  6. University of Illinois Chicago

    Chicago, United States

    5 h-index

    5 publications

    302 citations

  7. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    181 citations

  8. University of Notre Dame

    Notre Dame, United States

    5 h-index

    9 publications

    249 citations

1–8 of 158

Venues

  1. arXiv (Cornell University)

    Repository · 13 publications · 224 citations

    11

    h-index

  2. ArXiv.org

    Repository · 12 publications · 408 citations

    10

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 8 publications · 167 citations

    8

    h-index

  4. Pacific Journal of Mathematics

    8 publications · 186 citations

    8

    h-index

  5. Annals of Mathematics

    7 publications · 1.1K citations

    7

    h-index

1–5