Unstabilized and uncritical self-amalgamation along essential subsurfaces

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（9）
• 页码范围: 1807-1812
• 页数: 6页
• 语种: 英文

摘要

Suppose V ∪s W is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F1 and F2 are pairwise disjoint homeomorphic essential subsurfaces in （e）_ V.In this paper,we give a sufficient condition such that the self-amalgamation of V ∪s W along F1 and F2 is unstabilized and uncritical.