ScalingStacks

Corollary 4.10. Let $W_{1}=S^{1}\times B^{3}$ and consider the link $S^{1}\times P_{p}$ consisting of $2p$ parallel circles with balanced orientations (that is, with $p$ circles oriented one way and $p$ the other way). Then, we have an isomorphism of bigraded $\mathbbm{k}$-vector spaces:

(20)

$$\mathcal{S}_{0}^{N}(S^{1}\times B^{3};S^{1}\times P_{p},\mathbbm{k})\cong\mathrm{HH}_{0}(\mathcal{S}_{0}^{N}(B^{3};P_{p},\mathbbm{k}))$$