Unstabilized and uncritical self-amalgamation along essential subsurfaces
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论文类型：期刊论文
发表时间：2019-09-01
发表刊物：SCIENCE CHINA-MATHEMATICS
收录刊物：SCIE
卷号：62
期号：9
页面范围：1807-1812
ISSN号：1674-7283
关键字：self-amalgamation; curve complex; stabilization; critical surface
摘要：Suppose V ?W-S is a strongly irreducible Heegaard splitting of a compact connected orientable 3-manifold M and F-1 and F-2 are pairwise disjoint homeomorphic essential subsurfaces in partial differential _V. In this paper, we give a suffcient condition such that the self-amalgamation of V ?W-S along F-1 and F-2 is unstabilized and uncritical.