 the $k$-scheme $(\bbT^{\vee}\times V_{\mathbf{\whT},0})/W_0$ with the skyscraper sheaves on it, the antispherical functor $\operatorname{ASph}$ induces a map $$\xymatrix{ \operatorname{ASph}:\big((\bbT^{\vee}\times V_{\mathbf{\whT},0})/W_0\big)