A Lower Bound for the Heegaard Genera of Annulus Sum
A Lower Bound for the Heegaard Genera of Annulus Sum作者机构:School of Mathematical Sciences Dalian University of Technology Liaoning 116024 P. R. China
出 版 物:《Journal of Mathematical Research and Exposition》 (数学研究与评论(英文版))
年 卷 期:2011年第31卷第4期
页 面:578-586页
学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学]
摘 要:Let Mi, i = 1,2, be a compact orientable 3-manifold, and Ai an incompressible annulus on a component Fi of OMi. Suppose A1 is separating on F1 and A2 is non-separating on F2. Let M be the annulus sum of M1 and M2 along A1 and A2. In the present paper, we give a lower bound for the genus of the annulus sum M in the condition of the Heegaard distances of the submanifolds M1 and M2