An operation between oriented knots analogous to Connected sum.

See here and here

The knot (up to Knot equivalence) that we get after we sum two knots is independent of the way we sum them (vid) See here for outline of proof.

Algebraic properties:

• Associativity
• Commutativity
• Existence of unit (the Unknot)

Prime knot

There are no negatives for the knot sum.