A Note on Knot Floer Homology and Fixed Points of Monodromy  

作　　者：Yi Ni 

机构地区：[1]Department of Mathematics,Caltech,MC 253-371200 E California Blvd,Pasadena,CA 91125,USA

出　　处：《Peking Mathematical Journal》2023年第2期635-643,共9页北京数学杂志（英文）

基　　金：The author was partially supported by NSF Grant Number DMS-1811900.

摘　　要：Using an argument of Baldwin-Hu-Sivek,we prove that if K is a hyperbolic fibered knot with fiber F in a closed,oriented 3-manifold Y,andHFK(Y,K,[F],g(F)−1)has rank 1,then the monodromy of K is freely isotopic to a pseudo-Anosov map with no fixed points.In particular,this shows that the monodromy of a hyperbolic L-space knot is freely isotopic to a map with no fixed points.

关 键 词：Knot Floer homology Fibered knot Fixed points L-space knot 

分 类 号：O17[理学—数学]