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	Bounds for fixed points and fixed subgroups on surfaces and graphs
	Jiang, Boju ; Wang, Shida ; Zhang, Qiang
	2011
关键词	DIFFEOMORPHISMS
英文摘要	We consider selfmaps of hyperbolic surfaces and graphs, and give some bounds involving the rank and the index of fixed point classes. One consequence is a rank bound for fixed subgroups of surface group endomorphisms, similar to the Bestvina-Handel bound (originally known as the Scott conjecture) for free group automorphisms. When the selfmap is homotopic to a homeomorphism, we rely on Thurston's classification of surface automorphisms. When the surface has boundary, we work with its spine, and Bestvina-Handel's theory of train track maps on graphs plays an essential role. It turns out that the control of empty fixed point classes (for surface automorphisms) presents a special challenge. For this purpose, an alternative definition of fixed point class is introduced, which avoids covering spaces hence is more convenient for geometric discussions.; Mathematics; SCI(E); 6; ARTICLE; 4; 2297-2318; 11
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/20.500.11897/314454]
专题	数学科学学院
推荐引用方式 GB/T 7714	Jiang, Boju,Wang, Shida,Zhang, Qiang. Bounds for fixed points and fixed subgroups on surfaces and graphs. 2011-01-01.

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