Notes for AKT-090924-1/0:25:49

${\mathcal {A}}={\hat {\bigoplus }}{\mathcal {A}}_{n}$ is (in some sense) the double dual of the space of knots

Theorem: ${\mathcal {A}}$ is a commutative co-commutative bi-algebra. (For now, we prove ${\mathcal {A}}$ is a commutative algebra.)