Concepedia

Boundary Operators

A Boundary Operator is a linear map between chain groups in a chain complex that assigns to each simplex its oriented boundary, distinguishing itself by encoding the combinatorial boundary structure necessary for defining homology groups in topological spaces.

586

Publications

27K

Citations

810

Authors

497

Institutions

Publications per year

2017–2026

86

Variants

Boundary Operator

Parents

Publications

586

Boundary Integral Operators on Lipschitz Domains: Elementary Results

Martin Costabel · SIAM Journal on Mathematical Analysis · 1988 · 898 citations

, , +16

Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence

Journal of High Energy Physics · 2015 · 825 citations · Full text

, , +15

On the Structure of Semigroups on a Compact Manifold With Boundary

Paul S. Mostert, Allen Shields · Annals of Mathematics · 1957 · 461 citations

, , +4

Elliptic theory of differential edge operators I

Rafe Mazzeo · Communications in Partial Differential Equations · 1991 · 407 citations

, , +13

Bulk and boundary operators in conformal field theory

John Cardy, D. C. Lewellen · Physics Letters B · 1991 · 387 citations

, , +12

1–5 of 586

Authors

810

  1. MC
    Martin Costabel

    Institut de recherche mathématique de Rennes, France

    8 publications · 1.3K citations

    8

    h-index

  2. AM
    Allan M. Krall

    Pennsylvania State University, United States

    6 publications · 131 citations

    6

    h-index

  3. VR
    V. Rittenberg

    University of Bonn, Germany

    4 publications · 147 citations

    4

    h-index

  4. JP
    João Penedones

    Universidade do Porto, Portugal

    4 publications · 312 citations

    4

    h-index

  5. FL
    Frédérique Le Louër

    Université de Technologie de Compiègne, France

    4 publications · 99 citations

    4

    h-index

1–5 of 810

Institutions

497

  1. Centre National de la Recherche Scientifique

    Paris, France

    15 h-index

    22 publications

    1.1K citations

  2. Pennsylvania State University

    State College, United States

    10 h-index

    14 publications

    523 citations

  3. University of Potsdam

    Potsdam, Germany

    8 h-index

    8 publications

    249 citations

  4. Institut de recherche mathématique de Rennes

    Rennes, France

    7 h-index

    8 publications

    495 citations

  5. University of Bonn

    Bonn, Germany

    7 h-index

    14 publications

    391 citations

  6. ETH Zurich

    Zurich, Switzerland

    7 h-index

    10 publications

    417 citations

  7. Leibniz University Hannover

    Hanover, Germany

    7 h-index

    11 publications

    276 citations

  8. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    6 h-index

    6 publications

    163 citations

1–8 of 497

Venues

  1. Journal of High Energy Physics

    JHEP · 38 publications · 2.8K citations

    22

    h-index

  2. Journal of Functional Analysis

    17 publications · 743 citations

    13

    h-index

  3. Integral Equations and Operator Theory

    13 publications · 417 citations

    12

    h-index

  4. Nuclear Physics B

    16 publications · 907 citations

    12

    h-index

  5. Journal of Physics A Mathematical and General

    11 publications · 427 citations

    11

    h-index

1–5