Concepedia

Euler Characteristic Interpretation

Euler Characteristic Interpretation is a theoretical framework within combinatorial topology that interprets the inclusion-exclusion principle as a calculation of the Euler characteristic of a simplicial complex associated with a cover of a finite set, thereby unifying combinatorial counting with topological invariants.

365

Publications

17.8K

Citations

561

Authors

350

Institutions

Publications per year

2017–2026

59

Parents

Publications

365

Spectral asymmetry and Riemannian Geometry. I

Michael Atiyah, V. K. Patodi, I. M. Singer · Mathematical Proceedings of the Cambridge Philosophical Society · 1975 · 2.1K citations

, , +10

Three dimensional manifolds, Kleinian groups and hyperbolic geometry

William P. Thurston · Bulletin of the American Mathematical Society · 1982 · 1.4K citations · Full text

, , +15

The Euler characteristic of the moduli space of curves

John Harer, Don Zagier · Inventiones mathematicae · 1986 · 721 citations

, , +11

Local Maxima and the Expected Euler Characteristic of Excursion Sets of <i>χ <sup>2</sup>, F</i> and <i>t</i> Fields

Keith J. Worsley · Advances in Applied Probability · 1994 · 355 citations

, , +17

Local Maxima and the Expected Euler Characteristic of Excursion Sets of χ 2, F and t Fields

Keith J. Worsley · Advances in Applied Probability · 1994 · 312 citations

, , +17

1–5 of 365

Authors

561

  1. OK
    Oliver Knill

    Harvard University, United States

    7 publications · 156 citations

    7

    h-index

  2. KM
    Klaus Mecke

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

    6 publications · 621 citations

    6

    h-index

  3. KJ
    Keith J. Worsley

    McGill University, Canada

    6 publications · 748 citations

    6

    h-index

  4. RJ
    Robert J. Adler

    Technion – Israel Institute of Technology, Israel

    6 publications · 264 citations

    6

    h-index

  5. ZS
    Zbigniew Szafraniec

    University of Gdańsk, Poland

    5 publications · 110 citations

    5

    h-index

1–5 of 561

Institutions

350

  1. Stanford University

    Stanford, United States

    9 h-index

    15 publications

    651 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    8 h-index

    12 publications

    404 citations

  3. University of Cambridge

    Cambridge, United Kingdom

    7 h-index

    10 publications

    385 citations

  4. Institute of Mathematics

    Warsaw, Poland

    6 h-index

    6 publications

    91 citations

  5. Institute for Advanced Study

    Princeton, United States

    6 h-index

    6 publications

    226 citations

  6. University of California, Davis

    Davis, United States

    6 h-index

    9 publications

    837 citations

  7. UNSW Sydney

    Sydney, Australia

    6 h-index

    10 publications

    669 citations

  8. University of Oxford

    Oxford, United Kingdom

    6 h-index

    10 publications

    2.4K citations

1–8 of 350

Venues

  1. arXiv (Cornell University)

    Repository · 26 publications · 630 citations

    14

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 9 publications · 124 citations

    9

    h-index

  3. ArXiv.org

    Repository · 9 publications · 186 citations

    9

    h-index

  4. Journal of High Energy Physics

    JHEP · 8 publications · 250 citations

    8

    h-index

  5. Algebraic & Geometric Topology

    AGT · 7 publications · 237 citations

    7

    h-index

1–5