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

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