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	THE HEEGAARD DISTANCES COVER ALL NONNEGATIVE INTEGERS
	Qiu, Ruifeng ; Zou, Yanqing ; Guo, Qilong
	2015
关键词	attaching handlebody Heegaard distance subsurface projection CURVE COMPLEX AMALGAMATED 3-MANIFOLDS MEASURED LAMINATIONS HAKEN 3-MANIFOLDS SPLITTINGS SURFACES GEOMETRY BOUNDS GENUS
英文摘要	We prove two main results: (1) For any integers n >= 1 and g >= 2, there is a closed 3-manifold M-g(n) admitting a distance-n, genus-g Heegaard splitting, unless (g, n) = (2, 1). Furthermore, M-g(n) can be chosen to be hyperbolic unless (g, n) = (3, 1). (2) For any integers g >= 2 and n >= 4, there are infinitely many nonhomeomorphic closed 3-manifolds admitting distance-n, genus-g Heegaard splittings.; NSFC [11171108, 11271058]; SCI(E); ARTICLE; rfqiu@math.ecnu.edu.cn; yanqing@dlnu.edu.cn; guolong1999@yahoo.com.cn; 1; 231-255; 275
语种	英语
出处	SCI
出版者	PACIFIC JOURNAL OF MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/420397]
专题	数学科学学院
推荐引用方式 GB/T 7714	Qiu, Ruifeng,Zou, Yanqing,Guo, Qilong. THE HEEGAARD DISTANCES COVER ALL NONNEGATIVE INTEGERS. 2015-01-01.

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