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arXiv · 1109.2168

Moving basepoints and the induced automorphisms of link Floer homology

Sucharit Sarkar
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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 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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Sucharit Sarkar. 2011-09-09. Moving basepoints and the induced automorphisms of link Floer homology. https://doi.org/10.2140/agt.2015.15.2479

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