I don't understand something : in the notes by Justin Campell "Some examples of the Riemann-Hilbert correspondence", it is stated that there is an exact sequence $$ 0 \to \delta_{\infty} \to j_!IC_{\Bbb A^1} \to IC_{\Bbb P^1}\to 0$$ where $\Bbb P^1$ is stratified as $\Bbb A^1 \sqcup \{\infty\}$ and $\delta_{\infty} $ is the skyscraper sheaf with constant stalk $\Bbb Q$.
However, taking the stalk at infinity gives $0 \to \Bbb Q \to 0 \to \Bbb Q \to 0 $ which is clearly a contradiction. As far as I understand, that this sequence was obtained by taking the Verdier dual of the sequence $$ 0 \to IC_{\Bbb P^1} \to j_*IC_{\Bbb A^1} \to \delta_{\infty} \to 0 $$ which seems plausible but where is my mistake ?