A Note on Heegaard Splittings of Amalgamated 3-Manifolds |
| |
| Authors: | Kun DU and Xutao GAO |
| |
| Institution: | 1. School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China
2. School of Mathematical Science,Dalian University of Technology,Dalian 116024,Liaoning,China |
| |
| Abstract: | Let M be a compact orientable irreducible 3-manifold, and F be an essential connected closed surface in M which cuts M into two manifolds M1 and M2. If Mi has a minimal Heegaard splitting Mi = Vi ∪Hi Wi with d(H1) + d(H2) ≥ 2(g(M1) + g(M2) -g(F)) + 1, then g(M) = g(M1) + g(M2) - g(F). |
| |
| Keywords: | Distance Stabilization Strongly irreducible |
| 本文献已被 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
