Louis H Kauffman 2005 Rep. Prog. Phys. 68 2829 doi:10.1088/0034-4885/68/12/R04
Louis H Kauffman
Show affiliationsThis paper is an introduction to relationships between knot theory and theoretical physics. We give an exposition of the theory of polynomial invariants of knots and links, the Witten functional integral formulation of knot and link invariants, and the beginnings of topological quantum field theory, and show how the theory of knots is related to a number of key issues in mathematical physics, including loop quantum gravity and quantum information theory. Along with the references cited in the text below, we also recommend the following as sources of background information [1–13].
81T45 Topological field theories (See also 57R56, 58Dxx)
Issue 12 (December 2005)
Received 27 July 2005
Published 5 October 2005
Louis H Kauffman 2005 Rep. Prog. Phys. 68 2829
K Kendall and K N G Fuller 1987 J. Phys. D: Appl. Phys. 20 1596
Kyle M. Walker et al. 2009 ApJ 706 614
S Dorbolo et al 2008 New J. Phys. 10 113021
Paul S Addison and James N Watson 2004 Meas. Sci. Technol. 15 L15
R Mélin et al 1996 J. Phys. A: Math. Gen. 29 5773
J Dai et al 2000 J. Phys. D: Appl. Phys. 33 L65
Xinpu Chen et al 2009 Physiol. Meas. 30 1399
Seung-Mo Lee and Tai Hun Kwon 2006 Nanotechnology 17 3189
Chengxiang Ding et al 2007 J. Phys. A: Math. Theor. 40 3305