Essential Surfaces in Graph Link Exteriors

Canadian mathematical bulletin

关键词: Graph link;    Graph manifold;    Seifert manifold;    Essential surface;   

DOI  :  10.4153/CMB-2009-028-9

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

An irreducible graph manifold $M$ contains an essential torus ifit is not a special Seifert manifold.Whether $M$ contains a closed essential surface ofnegative Euler characteristic or notdepends on the difference of Seifert fibrations from the two sidesof a torus system which splits $M$ into Seifert manifolds.However,it is not easy to characterize geometrically the class ofirreducible graph manifolds which contain such surfaces.This article studies this problem in the case of graph link exteriors.

【 授权许可】

Unknown