Concepedia

Knot Energy

Knot Energy is a mathematical functional defined on the space of knots that quantifies the repulsive interaction between different parts of a curve, distinguishing it from other knot invariants by measuring the energy cost associated with knot complexity and self-avoidance.

84

Publications

3.9K

Citations

161

Authors

126

Institutions

Publications per year

2017–2026

13

Parents

Publications

84

A synthetic molecular pentafoil knot

Jean‐François Ayme, Jonathon E. Beves, David A. Leigh et al. · Nature Chemistry · 2011 · 414 citations

, , +8

Mobius Energy of Knots and Unknots

Michael Freedman, Zheng-Xu He, Zhenghan Wang · Annals of Mathematics · 1994 · 233 citations

, , +5

Arthroscopic knots: Determining the optimal balance of loop security and knot security

Ian K.Y. Lo, Stephen S. Burkhart, Kwai-Tung Chan et al. · Arthroscopy The Journal of Arthroscopic and Related Surgery · 2004 · 211 citations

, , +11

Energy of a knot

Jun O’Hara · Topology · 1991 · 199 citations

, , +5

The energy spectrum of knots and links

H. K. Moffatt · Nature · 1990 · 192 citations

, , +9

1–5 of 84

Authors

161

  1. JO
    Jun O’Hara

    Tokyo Metropolitan University, Japan

    5 publications · 400 citations

    5

    h-index

  2. RL
    Renzo L. Ricca

    University of Milano-Bicocca, Italy

    5 publications · 88 citations

    5

    h-index

  3. PR
    Philipp Reiter

    University of Freiburg, Germany

    5 publications · 118 citations

    5

    h-index

  4. EJ
    Eric J. Rawdon

    University of St. Thomas - Minnesota, United States

    4 publications · 97 citations

    4

    h-index

  5. SB
    Simon Blatt

    Max Planck Institute for Gravitational Physics, Germany

    4 publications · 120 citations

    4

    h-index

1–5 of 161

Institutions

126

  1. University of Cambridge

    Cambridge, United Kingdom

    5 h-index

    11 publications

    912 citations

  2. University of Milano-Bicocca

    Milan, Italy

    5 h-index

    6 publications

    111 citations

  3. University of Warsaw

    Warsaw, Poland

    4 h-index

    6 publications

    137 citations

  4. RWTH Aachen University

    Aachen, Germany

    4 h-index

    5 publications

    82 citations

  5. York University

    Toronto, Canada

    3 h-index

    3 publications

    50 citations

  6. Duquesne University

    Pittsburgh, United States

    3 h-index

    3 publications

    81 citations

  7. Tokyo Metropolitan University

    Tokyo, Japan

    3 h-index

    3 publications

    181 citations

  8. University of Iowa

    Iowa City, United States

    3 h-index

    3 publications

    88 citations

1–8 of 126

Venues

  1. Journal of Knot Theory and Its Ramifications

    9 publications · 208 citations

    9

    h-index

  2. Topology and its Applications

    5 publications · 247 citations

    5

    h-index

  3. Nature

    4 publications · 537 citations

    4

    h-index

  4. 3

    h-index

  5. 3

    h-index

1–5