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Indexed by:期刊论文

Date of Publication:2011-01-01

Journal:BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals:Scopus、SCIE

Volume:48

Issue:1

Page Number:67-77

ISSN No.:1015-8634

Key Words:Heegaard distance; Heegaard genus; self-amalgamation

Abstract:Let M be a compact orientable closed 3-manifold, and F a non-separating incompressible closed surface in M. Let M' = M - eta(F), where eta(F) is an open regular neighborhood of F in M. In the paper, we give a lower bound of genus of self-amalgamation of minimal Heegaard splitting V' boolean OR(S') W' of M' under some conditions on the distance of the Heegaard splitting.