The Net Advance of Physics:
KNOT THEORY

KNOTS, LINKS, AND KNOT THEORY:
See also History of Knot Theory

• General: Non-Technical:
  • Knots [homepage at Best of the Web]

• General:
  • Archive of This Week's Finds in Mathematical Physics, 1--50 by John C. Baez [1993-1995] 242 pp.
  • Elementary knot theory by Marc Lackenby [2016/04] Despite title, really a collection of unsolved research problems that are "surprisingly easy to state".
  • A user's guide to basic knot and link theory by A. Skopenkov [2020/01]

• Type: ALTERNATING:
  • Alternating Knots by William W. Menasco [2019/01]

• Type: BORROMEAN:
  • Borromean Rings Homepage by Peter Cromwell [University of Liverpool]

• Type: HIGH-DIMENSIONAL:
  • An introduction to high dimensional knots by Eiji Ogasa [2013/04]

• Type: HYPERBOLIC:
  • A survey of hyperbolic knot theory by David Futer et al. [2017/08]

• Type: KNOTOIDS:
  • A survey on knotoids, braidoids and their applications by Neslihan Gügümcü et al. [2018/11]

• Type: QUANTUM:
  • Knots and Links in Physical Systems by Roman V. Buniy et al. [2008/08]
  • A Survey of Quantum Enhancements by Sam Nelson [2018/05]

• Type: SINGULAR:
  • What is a Singular Knot? by Zsuzsanna Dansco [2018/11]

• Type: WILSON LINKS: Kaul 99/07;
• Aspects: ALGORITHMS: Hass 97/12;

• Aspects: ALGORITHMS: Types: HAKEN'S;

• Aspects: ALEXANDER POLYNOMIALS:
  • Introduction to twisted Alexander polynomials and related topics by Teruaki Kitano [2015/10]

• Aspects: FLOER HOMOLOGY:
  • An Introduction to Knot Floer Homology and Curved Bordered Algebras by Antonio Alfieri and Jackson Van Dyke [2018/11]

• Aspects: INVARIANTS: VASSILIEV:
  • This Week's Finds in Mathematical Physics (Week 3) by John Baez [1993 January 30]

• Aspects: INVARIANTS: Re: QUANTUM GROUPS: Labastida 2001/07;

• Aspects: JONES POLYNOMIALS: Kaul 99/07;

• Aspects: LEVINE-TRISTRAM SIGNATURE:
  • The Levine-Tristram Signature: A Survey by Anthony Conway [2019/03]

• Aspects: RACKS and QUANDLES:
  • A Survey of Racks and Quandles: Some Recent Developments by Mohamed Elhamdadi [2019/10]

• Re: BIOLOGY:
  • Recent Advances on the Non-Coherent Band Surgery Model for Site-Specific Recombination by Allison H. Moore and Mariel Vazquez [2018/10]

• Re: CHERN-SIMONS THEORY: Labastida 99/05;
• Re: FEYNMAN DIAGRAMS:
  • Knots and Feynman Diagrams by Dirk Kreimer [Cambridge University Press, 2000]
  • Knot Diagrammatics by Louis H. Kauffman [2004/10]
• Re: HOPF ALGEBRAS: Nikshych and Vainerman 2000/06;

• Re: LOOP QUANTUM GRAVITY:
  • Knot theory and quantum gravity in loop space: a primer by Jorge Pullin [1993/01]

• Re: POLYMERS: Nechaev 98/12;
  • Ring Polymers: Threadings, Knot Electrophoresis and Topological Glasses by Davide Michieletto et al. [2017/08]

• Re: PROBABILITY: Nechaev 98/12;

• Re: q-DEFORMATION:
  • [q-hypergeometric] Orthogonal Polynomials in Mathematical Physics by Chuan-Tsung Chan et al. [2017/12]

• Re: QUANTUM CHROMODYNAMICS:
  • Knots and Links in Physical Systems by Roman V. Buniy et al. [2008/08]

• Re: QUANTUM GROUPS: Labastida 2001/07;

• Re: QUANTUM MECHANICS:
  • Knots and Links in Physical Systems by Roman V. Buniy et al. [2008/08]

• Re: RANDOM WALKS: Nechaev 98/12;

THE NET ADVANCE OF PHYSICS