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Indexed by:Journal Papers

Date of Publication:2019-09-01

Journal:SCIENCE CHINA-MATHEMATICS

Included Journals:SCIE

Volume:62

Issue:9

Page Number:1807-1812

ISSN No.:1674-7283

Key Words:self-amalgamation; curve complex; stabilization; critical surface

Abstract: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.