Notes for AKT-090924-1/0:02:41

Let [math]\displaystyle{ V_n }[/math] be the space of invariants of type [math]\displaystyle{ n }[/math] (for framed knots) Consider [math]\displaystyle{ \overline{0} \rightarrow V_{n-1} \rightarrow V_n \rightarrow W_n \rightarrow \overline{0} }[/math] where [math]\displaystyle{ V_{n-1} \rightarrow V_n }[/math] under the inclusion map and [math]\displaystyle{ V_n \rightarrow W_n }[/math] being the map assigning each invariant its weight system. This is an exact sequence.