|
|
| |
| A Note on Heegaard Splittings of Amalgamated 3-Manifolds |
| |
Citation： |
Kun DU,Xutao GAO.A Note on Heegaard Splittings of Amalgamated 3-Manifolds[J].Chinese Annals of Mathematics B,2011,32(3):475~482 |
| Page view： 1823
Net amount： 1498 |
Authors： |
Kun DU; Xutao GAO; |
Foundation： |
the National Natural Science Foundation of China (No. 10625102). |
|
|
| 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 $M_{1}$ and $M_{2}$. If $M_{i}$ has a minimal
Heegaard splitting $M_{i}=V_{i}\cup_{H_{i}}W_{i}$ with $d(H_{1})+d(H_{2})\geq
2(g(M_{1})+g(M_{2})-g(F))+1$, then $g(M)=g(M_{1})+g(M_{2})-g(F)$. |
Keywords： |
Distance, Stabilization, Strongly irreducible |
Classification： |
57M25 |
|
|
Download PDF Full-Text
|
