Moving basepoints and the induced automorphisms of link Floer homology
Moving basepoints and the induced automorphisms of link Floer homology
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移动基点和链接弗洛尔同调的诱导自同构
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发表时间：
2011
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通讯作者：
Sucharit Sarkar
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作者：
Sucharit Sarkar
给定有向三维流形Y中的L分支指向环(L，p)，可以在多项式环F_2[U_1，…，U_L]上构造它的链环Floer链复形CFL(Y，L，p)。将链环分量L_i中的基点p_i移动一次，将导致CFL(Y，L，p)的自同构。本文研究了用全纯圆盘显式定义的CFL(Y，L，p)的一个自同构(可能不同)；对于S^3中的环，我们证明了这两个自同构是相同的。
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.