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论文类型：期刊论文

发表时间：2013-02-01

发表刊物：SCIENCE CHINA-MATHEMATICS

收录刊物：SCIE

卷号：56

期号：2

页面范围：221-226

ISSN号：1674-7283

关键字：curve complex; Heegaard splitting; reducible; weakly reducible

摘要：Let Va(a) (S) W be a reducible Heegaard splitting of genus g = g(S) a (c) 3/4 2. For a maximal prime connected sum decomposition of V a(a) (S) W, let q denote the number of the genus 1 Heegaard splittings of S (2) x S (1) in the decomposition, and p the number of all other prime factors in the decomposition. The main result of the present paper is to describe the relation of p, q and dim(C (V) a (c) C (W) ).