Heegaard genera of high distance are additive under annulus sum |
| |
| Authors: | Fengling Li |
| |
| Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
b School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China |
| |
| Abstract: | Let Mi be a compact orientable 3-manifold, and Ai a non-separating incompressible annulus on ∂Mi, i=1,2. Let h:A1→A2 be a homeomorphism, and M=M1h∪M2 the annulus sum of M1 and M2 along A1 and A2. In the present paper, we show that if Mi has a Heegaard splitting ViSi∪Wi with distance d(Si)?2g(Mi)+3 for i=1,2, then g(M)=g(M1)+g(M2). Moreover, if g(Fi)?2, i=1,2, then the minimal Heegaard splitting of M is unique. |
| |
| Keywords: | 57M99 |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
