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
Signature of a knot formula_11. This form takes value in the rational polynomials whose denominators are the Alexander polynomial of the knot, which as a formula_11-module is isomorphic to formula_34. Let formula_35 be any linear function which is invariant under the involution formula_36, then composing it with the sesquilinear duality pairing gives a symmetric bilinear form on formula_37 whose signature is an invariant of the knot. All such signatures are concordance invariants, so all signatures of slice knots are zero. The sesquilinear duality pairing respects the prime-power decomposition of formula_37—i.e.: the prime power decomposition gives an orthogonal decomposition of formula_39. Cherry Kearton has shown