Spin Link Homology

We put a new spin on Khovanov--Rozansky homology. That is, we equip Λⁿ-colored sl₂ₙ Khovanov--Rozansky homology with an involution whose ± 1-eigenspaces are link invariants. When $n=1,2,3$ (and assuming technical conjectures for n ≥ 4), we prove that this refined invariant categorifies the spin-colored so₂ₙ₊₁ quantum link polynomial. Along the way, we partially develop the theory of quantum so₂ₙ₊₁ webs and make contact with ιquantum groups.