Moving basepoints and the induced automorphisms of link Floer homology

الأصل · EN

Given an l-component pointed oriented link (L,p) in an oriented three-manifold Y, one can construct its link Floer chain complex CFL(Y,L,p) over the polynomial ring F₂[U₁,...,Uₗ]. Moving the basepoint pᵢ in the link component Lᵢ once around induces an automorphism of CFL(Y,L,p). In this paper, we study an automorphism (a possibly different one) of CFL(Y,L,p) defined explicitly in terms of holomorphic disks; for links in S³, we show that these two automorphisms are the same.