边界可约的Heegaard分解(英文)

On δ-reducible Heegaard Splittings

中文关键词:  连通和  边界连通和  边界自连通和

英文关键词:connected sum  boundary connected sum  self-boundaxy connected sum.

中文摘要:

      本文证明了任意边界可约流形的Heegaard分解都是n个不可约的、边界不可约的三维流形的Heegaard分解通过连通和、边界连通和及边界自连通和运算而得到.

英文摘要:

      In this paper, we shall prove that any Heegaard splitting of a δ-reducible 3-manifold M, say M = W∪V, can be obtained by doing connected sums, boundary connected sums and self-boundary connected sums from Heegaard splittings of n manifolds M₁,..., M_n, where M_i is either a solid torus or an irreducible, ?-irreducible manifold.