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	Finiteness of mapping degrees and PSL(2, R)-volume on graph manifolds
	Derbez, Pierre ; Wang, Shicheng
	2009
关键词	NONZERO DEGREE 3-MANIFOLDS VOLUMES MAPS
英文摘要	For given closed orientable 3-manifolds M and N let D(M, N) be the set of mapping degrees from M to N. We address the problem: For which N is D(M, N) finite for all M ? The answer is known for prime 3-manifolds unless the target is a nontrivial graph manifold. We prove that for each closed nontrivial graph manifold N, D(M, N) is finite for any graph manifold M. The proof uses a recently developed standard form of maps between graph manifolds and the estimation of the (PSL) over tilde (2, R)-volume for a certain class of graph manifolds.; Mathematics; SCI(E); 2; ARTICLE; 3; 1727-1749; 9
语种	英语
出处	SCI
出版者	algebraic and geometric topology
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/396735]
专题	数学科学学院
推荐引用方式 GB/T 7714	Derbez, Pierre,Wang, Shicheng. Finiteness of mapping degrees and PSL(2, R)-volume on graph manifolds. 2009-01-01.

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