Release Time:2019-11-04  Hits:

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: 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.