ScalingStacks

Proposition 27 For an oriented link $L,$

$$K(L)=\sum_{i,j\in\mathbb{Z}}(-1)^{i}q^{j}{\mathrm{dim}}_{\mathbb{Q}}({\cal H}^{i,j}(L)\otimes\mathbb{Q}),$$

(154)

where $K(L)$ is the scaled Kauffman bracket (see Section 2.4).