HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
HEEGAARD GENERA OF ANNULAR 3-MANIFOLDS
复制标题
DOI：
10.1142/s0218216511009418
复制
发表时间：
2011-04
影响因子：
0.5
通讯作者：
K. Du;Jiming Ma;Ruifeng Qiu;Mingxing Zhang
中科院分区：
文献类型：
--
作者：
K. Du;Jiming Ma;Ruifeng Qiu;Mingxing Zhang
设M是紧致可定向的3-流形，A是将M切成M1和M2两个3-流形的本质环。我们用g(M)表示M的Heegaard亏格。当Mi不包含具有大Euler特征的有界本质曲面时，我们将给出g(M)的一个下界，其中本质曲面的所有边界分支都位于A中。
Let M be a compact orientable 3-manifold, and A an essential annulus which cuts M into two 3-manifolds M1 and M2. We denote by g(M) the Heegaard genus of M. In this paper, we will give a lower bound to g(M) when Mi contains no bounded essential surfaces with large Euler's characteristic, where all boundary components of the essential surfaces lie in A.