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 the knot, constructed from a set of curves on a Seifert surface of genus "g" which represent a basis for the first homology of the surface. This means that "V" is a 2"g" × 2"g" matrix with the property that "V" − "V" is a symplectic matrix. The "Arf invariant" of the knot is the residue of Specifically, if formula_3, is a symplectic basis for the intersection form on the Seifert surface, then where formula_5 denotes the positive pushoff of "a". This approach to the Arf invariant is due to Louis Kauffman. We define two knots to be pass equivalent