The mathematics and physics of knots

Details The mathematics and physics of knots The mathematics and physics of knots

Dec 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005rpph...68.2829k&link_type=abstract

Reports on Progress in Physics, Volume 68, Issue 12, pp. 2829-2857 (2005).

Physics

6

Scientific paper

This 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].

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