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Indexed by:期刊论文

Date of Publication:2013-08-15

Journal:TOPOLOGY AND ITS APPLICATIONS

Included Journals:SCIE、Scopus

Volume:160

Issue:13

Page Number:1611-1615

ISSN No.: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.