ScalingStacks

Definition 4.4. Let $L\subset B$ be a link embedded in a 3-ball. Then we define the Khovanov–Rozansky homology of $L$ in $B$ to be

$$\mathrm{KhR}_{N}(B,L)\stackrel{{\scriptstyle\mathrm{def}}}{{=}}\Gamma_{\textrm{flat}}(T(B,L)),$$

the bigraded abelian group of flat sections of the bundle $T(B,L)$.