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Indexed by:期刊论文

Date of Publication:2013-02-01

Journal:SCIENCE CHINA-MATHEMATICS

Included Journals:SCIE

Volume:56

Issue:2

Page Number:221-226

ISSN No.:1674-7283

Key Words:curve complex; Heegaard splitting; reducible; weakly reducible

Abstract: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) ).