A closed curve associated with a knot which is displaced along the normal by a small amount. For a knot K parameterized as x^mu(s) for 0<=s<=L along the length of the knot by parameter s, the frame K_f associated with K is


where epsilon is a small parameter, n^mu(s) is a unit vector field normal to the curve at s.

See also

Framework, Knot

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Kaul, R. K. "Topological Quantum Field Theories--A Meeting Ground for Physicists and Mathematicians." 15 Jul 1999.

Referenced on Wolfram|Alpha


Cite this as:

Weisstein, Eric W. "Frame." From MathWorld--A Wolfram Web Resource.

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