Moving basepoints and the induced automorphisms of link Floer homology
Abstract
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.
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