2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/160474For every positive integer $n$ we construct a bigraded homology theory for links, such that the corresponding invariant of the unknot is closely related to the U(n)-equivariant cohomology ring of $\mathbb{CP}^{n-1}$; our construction specializes to the Khovanov-Rozansky $sl_n$-homology. We are motivated by the "universal" rank two Frobenius extension studied by M. Khovanov in \cite{Kh3} for $sl_2$-homology.28 pages, 23 figuresQuantum AlgebraGeometric Topology17B99text