Eskimo bowline Eskimo bowline The Eskimo bowline is an 'anti-bowline' which is in a class of knots known as 'eye knots'. The eye is formed in the end of the rope to permit attachments/connections. The common (ABoK #1010) bowline is also an 'eye knot'. In the common bowline, the bight component forms around the 'standing part'. In contrast, the bight component of an anti-bowline forms around the ongoing eye-leg. The Eskimo bowline is best used in applications in which the loop will be stretched wide. In applications where the two legs of the loop are nearly parallel, a bowline is superior. The
Arf invariant of a knot Arf invariant of a knot In the mathematical field of knot theory, the Arf invariant of a knot, named after Cahit Arf, is a knot invariant obtained from a quadratic form associated to a Seifert surface. If "F" is a Seifert surface of a knot, then the homology group H("F", Z/2Z) has a quadratic form whose value is the number of full twists mod 2 in a neighborhood of an imbedded circle representing an element of the homology group. The Arf invariant of this quadratic form is the Arf invariant of the knot. Let formula_1 be a Seifert matrix of