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	Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds
	Derbez, Pierre ; Liu, Yi ; Sun, Hongbin ; Wang, Shicheng
	2017
关键词	GRAPH MANIFOLDS SURFACES SEPARABILITY FINITENESS INVARIANT HOMOLOGY
英文摘要	We show that for any closed orientable 3-manifold with positive simplicial volume, the growth of the Seifert volume of its finite covers is faster than the linear rate. In particular, each closed orientable 3-manifold with positive simplicial volume has virtually positive Seifert volume. The result reveals certain fundamental differences between the representation volumes of hyperbolic type and Seifert type. The proof is based on developments and interactions of recent results on virtual domination and on virtual representation volumes of 3-manifolds.; Recruitment Program of Global Youth Experts of China; National Science Foundation of the United States [DMS-1510383]; National Natural Science Foundation of China [11371034]; SCI(E); ARTICLE; 5; 3159-3190; 21
语种	英语
出处	SCI
出版者	GEOMETRY & TOPOLOGY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/475828]
专题	数学科学学院
推荐引用方式 GB/T 7714	Derbez, Pierre,Liu, Yi,Sun, Hongbin,et al. Positive simplicial volume implies virtually positive Seifert volume for 3-manifolds. 2017-01-01.

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