  Consider a polynomial $f$ of degree $d \geq 2$ that has a Siegel disk
$\Delta_f$ with a rotation number of bounded type. We prove that there does not
exist a hedgehog containing $\Delta_f$. Moreover, if the Julia set $J_f$ of $f$
is connected, then it is locally connected at the Siegel boundary $\partial
\Delta_f$.
