Concepedia

Quantum Invariants

Quantum Invariants is a mathematical construct in low-dimensional topology that assigns topological invariants to manifolds or knots via representations of quantum groups or solutions to the Yang–Baxter equation, distinguishing them by their origin in quantum field theory and their functorial construction through category-theoretic methods.

610

Publications

30.8K

Citations

816

Authors

499

Institutions

Publications per year

2017–2026

86

Variants

Quantum Topological Invariants

Parents

Publications

610

Invariants of 3-manifolds via link polynomials and quantum groups

Nicolai Reshetikhin, Vladimir G. Turaev · Inventiones mathematicae · 1991 · 1.6K citations

, , +14

State sum invariants of 3-manifolds and quantum 6j-symbols

Vladimir G. Turaev, Oleg Viro · Topology · 1992 · 1.2K citations

, , +10

Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Maxim Kontsevich, Yan Soibelman · ArXiv.org · 2008 · 765 citations · Full text

, , +17

Gromov-Witten Invariants and Quantization of Quadratic Hamiltonians

Alexander Givental · Moscow Mathematical Journal · 2001 · 440 citations

, , +16

Geometric theory of nonlocal two-qubit operations

Jun Zhang, Jiří Vala, S. Shankar Sastry et al. · Physical Review A · 2003 · 429 citations · Full text

, , +17

1–5 of 610

Authors

816

  1. LH
    Louis H. Kauffman

    University of Illinois Chicago, United States

    11 publications · 375 citations

    10

    h-index

  2. TT
    Thang T. Q. Lê

    Georgia Institute of Technology, United States

    9 publications · 403 citations

    9

    h-index

  3. RI
    Rafael I. Nepomechie

    University of Miami, United States

    7 publications · 480 citations

    7

    h-index

  4. AB
    Anna Beliakova

    University of Zurich, Switzerland

    6 publications · 92 citations

    6

    h-index

  5. CW
    Chris Woodward

    Rutgers, The State University of New Jersey, United States

    6 publications · 203 citations

    6

    h-index

1–5 of 816

Institutions

499

  1. Centre National de la Recherche Scientifique

    Paris, France

    20 h-index

    28 publications

    2.9K citations

  2. University of California, Berkeley

    Berkeley, United States

    14 h-index

    21 publications

    2.9K citations

  3. The University of Queensland

    Brisbane, Australia

    13 h-index

    33 publications

    972 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    13 h-index

    14 publications

    981 citations

  5. California Institute of Technology

    Pasadena, United States

    13 h-index

    27 publications

    1.4K citations

  6. The University of Tokyo

    Tokyo, Japan

    13 h-index

    15 publications

    488 citations

  7. Institut de Mathématiques de Jussieu-Paris Rive Gauche

    Paris, France

    11 h-index

    13 publications

    525 citations

  8. Max Planck Institute for Mathematics

    Bonn, Germany

    11 h-index

    14 publications

    1.1K citations

1–8 of 499

Venues

  1. Physical Review A

    PRA · 35 publications · 2.3K citations

    23

    h-index

  2. Communications in Mathematical Physics

    25 publications · 2K citations

    20

    h-index

  3. Journal of Mathematical Physics

    35 publications · 1.1K citations

    20

    h-index

  4. Journal of Physics A Mathematical and General

    24 publications · 1.3K citations

    19

    h-index

  5. ArXiv.org

    Repository · 36 publications · 1.8K citations

    18

    h-index

1–5