KNOT THEORY

KNOTS, LINKS, AND KNOT THEORY:

See also History of
Knot Theory

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

- General:
- Elementary knot theory by Marc Lackenby [2016/04] Despite title, really a collection of unsolved research problems that are "surprisingly easy to state".

- 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;* - 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;*