Unstabilized and uncritical self-amalgamation along essential subsurfaces

作     者：Liang Liang Fengling Li Fengchun Lei 

作者机构：School of MathematicsLiaoning Normal UniversityDalian116029China School of Mathematical SciencesDalian University of TechnologyDalian116024China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2019年第62卷第9期

页      面：1807-1812页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11601209,11671064,11471151,11401069,11329101 and 11431009) Scientific Research Foundation for Doctors of Liaoning Province(Grant No.201601239) Scientific Research Fund of Liaoning Provincial Education Department(Grant No.L201683660) the Fundamental Research Funds for the Central Universities(Grant No.DUT16LK40) 

主　　题：self-amalgamation curve complex stabilization critical surface 

摘      要：Suppose V ∪S W is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F1 and F2 are pairwise disjoint homeomorphic essential subsurfaces in ?V. In this paper,we give a sufficient condition such that the self-amalgamation of V ∪S W along F1 and F2 is unstabilized and uncritical.