2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107703For each positive integer n, Khovanov and Rozansky constructed an invariant of links in the form of a doubly-graded cohomology theory whose Euler characteristic is the sl(n) link polynomial. We use Lagrangian Floer cohomology on some suitable affine varieties to build a similar series of link invariants, and we conjecture them to be equal to those of Khovanov and Rozansky after a collapsation of the bigrading. Our work is a generalization of that of Seidel and Smith, who treated the case n=2.47 pages, 6 figures; revised versionSymplectic GeometryGeometric Topology53D40; 57R58text