Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2011-01-01

Journal: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY

Included Journals: SCIE、Scopus

Volume: 48

Issue: 1

Page Number: 67-77

ISSN: 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.