Moving basepoints and the induced automorphisms of link Floer homology
Geometric Topology
2015-11-25 v1
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.
Cite
@article{arxiv.1109.2168,
title = {Moving basepoints and the induced automorphisms of link Floer homology},
author = {Sucharit Sarkar},
journal= {arXiv preprint arXiv:1109.2168},
year = {2015}
}
Comments
27 pages