Moving basepoints and the induced automorphisms of link Floer homology

Details Moving basepoints and the induced automorphisms of link Floer homology Moving basepoints and the induced automorphisms of link Floer homology

2011-09-09

arxiv.org/abs/1109.2168v1

Mathematics

Geometric Topology

27 pages

Scientific paper

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 F_2[U_1,...,U_l]. Moving the basepoint p_i in the link component L_i 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 S^3, we show that these two automorphisms are the same.

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