For \(m,n\in \mathbb{N}\) let \(\beta_{m,n}\colon m+n\rightarrow n+m\) be the morphism in \(h_1 \mathrm{K}^b_{\mathrm{loc}}(\mathrm{Sbim})\) given by the chain homotopy class of the shifted Rouquier complex \((X_{m,n})\) defining the cabled crossing in Definition 2.2.7.
Original source: arXiv:2401.02956v2
Original source · 2401.02956v2