Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-08-15

Journal: TOPOLOGY AND ITS APPLICATIONS

Included Journals: Scopus、SCIE

Volume: 160

Issue: 13

Page Number: 1611-1615

ISSN: 0166-8641

Key Words: Heegaard splitting; Dehn surgery; s-distance

Abstract: We introduce the concept of s-distance of an unstabilized Heegaard splitting. We prove if a 3-manifold admits an unstabilized genus g Heegaard splitting with s-distance m, then surgery on some (m - 1) components link may produce a 3-manifold which admits a stabilized genus g Heegaard splitting. We also give an alternative proof of the fundamental theorem of surgery theory, which states that every closed orientable 3-manifold is obtained by surgery on some link in 3-sphere. (C) 2013 Elsevier B.V. All rights reserved.